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Finding the Fourth Proportional to 7,417.68, 10,224.18 and 5,264.97

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Solution

The fourth proportional to 7,417.68, 10,224.18 and 5,264.97 is: 7,256.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,417.68 : 10,224.18 = 5,264.97 : x
  2. Step 2: Convert to fraction form
    7,417.68/10,224.18 = 5,264.97/x
  3. Step 3: Cross multiply
    7,417.68x = 10,224.18 × 5,264.97
  4. Step 4: Simplify right side
    7,417.68x = 53,830,000.97
  5. Step 5: Solve for x
    x = 53,830,000.97/7,417.68
  6. Step 6: Final answer
    x = 7,256.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.