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Finding the Fourth Proportional to 10,593.64, 14,619.23 and 5,877.91

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Solution

The fourth proportional to 10,593.64, 14,619.23 and 5,877.91 is: 8,111.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,593.64 : 14,619.23 = 5,877.91 : x
  2. Step 2: Convert to fraction form
    10,593.64/14,619.23 = 5,877.91/x
  3. Step 3: Cross multiply
    10,593.64x = 14,619.23 × 5,877.91
  4. Step 4: Simplify right side
    10,593.64x = 85,930,488.82
  5. Step 5: Solve for x
    x = 85,930,488.82/10,593.64
  6. Step 6: Final answer
    x = 8,111.52

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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.