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Finding the Fourth Proportional to 10,592.19, 14,617.71 and 5,876.19

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Solution

The fourth proportional to 10,592.19, 14,617.71 and 5,876.19 is: 8,109.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,592.19 : 14,617.71 = 5,876.19 : x
  2. Step 2: Convert to fraction form
    10,592.19/14,617.71 = 5,876.19/x
  3. Step 3: Cross multiply
    10,592.19x = 14,617.71 × 5,876.19
  4. Step 4: Simplify right side
    10,592.19x = 85,896,441.32
  5. Step 5: Solve for x
    x = 85,896,441.32/10,592.19
  6. Step 6: Final answer
    x = 8,109.41

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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.