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Finding the Fourth Proportional to 10,351.60, 15,527.40 and 10,078.23

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Solution

The fourth proportional to 10,351.60, 15,527.40 and 10,078.23 is: 15,117.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,351.60 : 15,527.40 = 10,078.23 : x
  2. Step 2: Convert to fraction form
    10,351.60/15,527.40 = 10,078.23/x
  3. Step 3: Cross multiply
    10,351.60x = 15,527.40 × 10,078.23
  4. Step 4: Simplify right side
    10,351.60x = 156,488,708.50
  5. Step 5: Solve for x
    x = 156,488,708.50/10,351.60
  6. Step 6: Final answer
    x = 15,117.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.