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Finding the Fourth Proportional to 10,462.30, 15,678.87 and 7,862.20

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Solution

The fourth proportional to 10,462.30, 15,678.87 and 7,862.20 is: 11,782.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,462.30 : 15,678.87 = 7,862.20 : x
  2. Step 2: Convert to fraction form
    10,462.30/15,678.87 = 7,862.20/x
  3. Step 3: Cross multiply
    10,462.30x = 15,678.87 × 7,862.20
  4. Step 4: Simplify right side
    10,462.30x = 123,270,411.71
  5. Step 5: Solve for x
    x = 123,270,411.71/10,462.30
  6. Step 6: Final answer
    x = 11,782.34

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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.