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Finding the Fourth Proportional to 7,569.82, 11,337.24 and 6,503.68

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Solution

The fourth proportional to 7,569.82, 11,337.24 and 6,503.68 is: 9,740.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,569.82 : 11,337.24 = 6,503.68 : x
  2. Step 2: Convert to fraction form
    7,569.82/11,337.24 = 6,503.68/x
  3. Step 3: Cross multiply
    7,569.82x = 11,337.24 × 6,503.68
  4. Step 4: Simplify right side
    7,569.82x = 73,733,781.04
  5. Step 5: Solve for x
    x = 73,733,781.04/7,569.82
  6. Step 6: Final answer
    x = 9,740.49

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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.