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Finding the Fourth Proportional to 10,590.90, 14,617.19 and 5,876.70

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Solution

The fourth proportional to 10,590.90, 14,617.19 and 5,876.70 is: 8,110.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,590.90 : 14,617.19 = 5,876.70 : x
  2. Step 2: Convert to fraction form
    10,590.90/14,617.19 = 5,876.70/x
  3. Step 3: Cross multiply
    10,590.90x = 14,617.19 × 5,876.70
  4. Step 4: Simplify right side
    10,590.90x = 85,900,811.09
  5. Step 5: Solve for x
    x = 85,900,811.09/10,590.90
  6. Step 6: Final answer
    x = 8,110.81

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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.