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Finding the Fourth Proportional to 10,382.67, 15,572.79 and 2,590.92

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Solution

The fourth proportional to 10,382.67, 15,572.79 and 2,590.92 is: 3,886.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,382.67 : 15,572.79 = 2,590.92 : x
  2. Step 2: Convert to fraction form
    10,382.67/15,572.79 = 2,590.92/x
  3. Step 3: Cross multiply
    10,382.67x = 15,572.79 × 2,590.92
  4. Step 4: Simplify right side
    10,382.67x = 40,347,853.07
  5. Step 5: Solve for x
    x = 40,347,853.07/10,382.67
  6. Step 6: Final answer
    x = 3,886.08

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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.