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Finding the Fourth Proportional to 10,265.54, 14,166.09 and 5,788.87

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Solution

The fourth proportional to 10,265.54, 14,166.09 and 5,788.87 is: 7,988.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,265.54 : 14,166.09 = 5,788.87 : x
  2. Step 2: Convert to fraction form
    10,265.54/14,166.09 = 5,788.87/x
  3. Step 3: Cross multiply
    10,265.54x = 14,166.09 × 5,788.87
  4. Step 4: Simplify right side
    10,265.54x = 82,005,618.00
  5. Step 5: Solve for x
    x = 82,005,618.00/10,265.54
  6. Step 6: Final answer
    x = 7,988.44

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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.