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Finding the Fourth Proportional to 10,585.38, 15,881.62 and 7,426.11

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Solution

The fourth proportional to 10,585.38, 15,881.62 and 7,426.11 is: 11,141.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,585.38 : 15,881.62 = 7,426.11 : x
  2. Step 2: Convert to fraction form
    10,585.38/15,881.62 = 7,426.11/x
  3. Step 3: Cross multiply
    10,585.38x = 15,881.62 × 7,426.11
  4. Step 4: Simplify right side
    10,585.38x = 117,938,577.69
  5. Step 5: Solve for x
    x = 117,938,577.69/10,585.38
  6. Step 6: Final answer
    x = 11,141.65

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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.