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Finding the Fourth Proportional to 10,592.47, 14,616.93 and 5,877.06

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Solution

The fourth proportional to 10,592.47, 14,616.93 and 5,877.06 is: 8,109.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,592.47 : 14,616.93 = 5,877.06 : x
  2. Step 2: Convert to fraction form
    10,592.47/14,616.93 = 5,877.06/x
  3. Step 3: Cross multiply
    10,592.47x = 14,616.93 × 5,877.06
  4. Step 4: Simplify right side
    10,592.47x = 85,904,574.63
  5. Step 5: Solve for x
    x = 85,904,574.63/10,592.47
  6. Step 6: Final answer
    x = 8,109.97

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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.