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Finding the Fourth Proportional to 10,354.01, 14,288.04 and 5,877.17

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Solution

The fourth proportional to 10,354.01, 14,288.04 and 5,877.17 is: 8,110.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,354.01 : 14,288.04 = 5,877.17 : x
  2. Step 2: Convert to fraction form
    10,354.01/14,288.04 = 5,877.17/x
  3. Step 3: Cross multiply
    10,354.01x = 14,288.04 × 5,877.17
  4. Step 4: Simplify right side
    10,354.01x = 83,973,168.61
  5. Step 5: Solve for x
    x = 83,973,168.61/10,354.01
  6. Step 6: Final answer
    x = 8,110.21

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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.