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Finding the Fourth Proportional to 10,585.87, 15,882.63 and 4,012

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Solution

The fourth proportional to 10,585.87, 15,882.63 and 4,012 is: 6,019.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,585.87 : 15,882.63 = 4,012 : x
  2. Step 2: Convert to fraction form
    10,585.87/15,882.63 = 4,012/x
  3. Step 3: Cross multiply
    10,585.87x = 15,882.63 × 4,012
  4. Step 4: Simplify right side
    10,585.87x = 63,721,111.56
  5. Step 5: Solve for x
    x = 63,721,111.56/10,585.87
  6. Step 6: Final answer
    x = 6,019.45

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Why These Related Problems?

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