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Finding the Fourth Proportional to 10,590.14, 15,875.76 and 4,020.92

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Solution

The fourth proportional to 10,590.14, 15,875.76 and 4,020.92 is: 6,027.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,590.14 : 15,875.76 = 4,020.92 : x
  2. Step 2: Convert to fraction form
    10,590.14/15,875.76 = 4,020.92/x
  3. Step 3: Cross multiply
    10,590.14x = 15,875.76 × 4,020.92
  4. Step 4: Simplify right side
    10,590.14x = 63,835,160.90
  5. Step 5: Solve for x
    x = 63,835,160.90/10,590.14
  6. Step 6: Final answer
    x = 6,027.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.