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Finding the Fourth Proportional to 10,590.13, 14,614.18 and 5,874.31

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Solution

The fourth proportional to 10,590.13, 14,614.18 and 5,874.31 is: 8,106.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,590.13 : 14,614.18 = 5,874.31 : x
  2. Step 2: Convert to fraction form
    10,590.13/14,614.18 = 5,874.31/x
  3. Step 3: Cross multiply
    10,590.13x = 14,614.18 × 5,874.31
  4. Step 4: Simplify right side
    10,590.13x = 85,848,223.72
  5. Step 5: Solve for x
    x = 85,848,223.72/10,590.13
  6. Step 6: Final answer
    x = 8,106.44

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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.