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Finding the Fourth Proportional to 7,313.60, 10,972.08 and 4,030.40

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Solution

The fourth proportional to 7,313.60, 10,972.08 and 4,030.40 is: 6,046.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,313.60 : 10,972.08 = 4,030.40 : x
  2. Step 2: Convert to fraction form
    7,313.60/10,972.08 = 4,030.40/x
  3. Step 3: Cross multiply
    7,313.60x = 10,972.08 × 4,030.40
  4. Step 4: Simplify right side
    7,313.60x = 44,221,871.23
  5. Step 5: Solve for x
    x = 44,221,871.23/7,313.60
  6. Step 6: Final answer
    x = 6,046.53

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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.