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Finding the Fourth Proportional to 7,497.68, 11,240.44 and 5,645.24

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Solution

The fourth proportional to 7,497.68, 11,240.44 and 5,645.24 is: 8,463.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,497.68 : 11,240.44 = 5,645.24 : x
  2. Step 2: Convert to fraction form
    7,497.68/11,240.44 = 5,645.24/x
  3. Step 3: Cross multiply
    7,497.68x = 11,240.44 × 5,645.24
  4. Step 4: Simplify right side
    7,497.68x = 63,454,981.51
  5. Step 5: Solve for x
    x = 63,454,981.51/7,497.68
  6. Step 6: Final answer
    x = 8,463.28

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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.