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Finding the Fourth Proportional to 7,666.57, 10,580.75 and 4,263.92

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Solution

The fourth proportional to 7,666.57, 10,580.75 and 4,263.92 is: 5,884.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,666.57 : 10,580.75 = 4,263.92 : x
  2. Step 2: Convert to fraction form
    7,666.57/10,580.75 = 4,263.92/x
  3. Step 3: Cross multiply
    7,666.57x = 10,580.75 × 4,263.92
  4. Step 4: Simplify right side
    7,666.57x = 45,115,476.67
  5. Step 5: Solve for x
    x = 45,115,476.67/7,666.57
  6. Step 6: Final answer
    x = 5,884.70

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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.