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Finding the Fourth Proportional to 10,655.17, 14,704.23 and 5,875.28

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Solution

The fourth proportional to 10,655.17, 14,704.23 and 5,875.28 is: 8,107.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,655.17 : 14,704.23 = 5,875.28 : x
  2. Step 2: Convert to fraction form
    10,655.17/14,704.23 = 5,875.28/x
  3. Step 3: Cross multiply
    10,655.17x = 14,704.23 × 5,875.28
  4. Step 4: Simplify right side
    10,655.17x = 86,391,468.43
  5. Step 5: Solve for x
    x = 86,391,468.43/10,655.17
  6. Step 6: Final answer
    x = 8,107.94

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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.