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Finding the Fourth Proportional to 10,424.63, 14,385.85 and 5,708.91

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Solution

The fourth proportional to 10,424.63, 14,385.85 and 5,708.91 is: 7,878.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,424.63 : 14,385.85 = 5,708.91 : x
  2. Step 2: Convert to fraction form
    10,424.63/14,385.85 = 5,708.91/x
  3. Step 3: Cross multiply
    10,424.63x = 14,385.85 × 5,708.91
  4. Step 4: Simplify right side
    10,424.63x = 82,127,508.65
  5. Step 5: Solve for x
    x = 82,127,508.65/10,424.63
  6. Step 6: Final answer
    x = 7,878.22

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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.