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Finding the Fourth Proportional to 7,332.53, 10,997.67 and 2,402.16

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Solution

The fourth proportional to 7,332.53, 10,997.67 and 2,402.16 is: 3,602.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,332.53 : 10,997.67 = 2,402.16 : x
  2. Step 2: Convert to fraction form
    7,332.53/10,997.67 = 2,402.16/x
  3. Step 3: Cross multiply
    7,332.53x = 10,997.67 × 2,402.16
  4. Step 4: Simplify right side
    7,332.53x = 26,418,130.73
  5. Step 5: Solve for x
    x = 26,418,130.73/7,332.53
  6. Step 6: Final answer
    x = 3,602.87

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