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Finding the Fourth Proportional to 10,367.04, 15,552 and 3,344.76

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Solution

The fourth proportional to 10,367.04, 15,552 and 3,344.76 is: 5,017.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367.04 : 15,552 = 3,344.76 : x
  2. Step 2: Convert to fraction form
    10,367.04/15,552 = 3,344.76/x
  3. Step 3: Cross multiply
    10,367.04x = 15,552 × 3,344.76
  4. Step 4: Simplify right side
    10,367.04x = 52,017,707.52
  5. Step 5: Solve for x
    x = 52,017,707.52/10,367.04
  6. Step 6: Final answer
    x = 5,017.60

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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.