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Finding the Fourth Proportional to 7,677.59, 11,502.41 and 5,332.64

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Solution

The fourth proportional to 7,677.59, 11,502.41 and 5,332.64 is: 7,989.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677.59 : 11,502.41 = 5,332.64 : x
  2. Step 2: Convert to fraction form
    7,677.59/11,502.41 = 5,332.64/x
  3. Step 3: Cross multiply
    7,677.59x = 11,502.41 × 5,332.64
  4. Step 4: Simplify right side
    7,677.59x = 61,338,127.49
  5. Step 5: Solve for x
    x = 61,338,127.49/7,677.59
  6. Step 6: Final answer
    x = 7,989.25

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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.