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Finding the Fourth Proportional to 10,429.01, 15,643.11 and 4,187.15

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Solution

The fourth proportional to 10,429.01, 15,643.11 and 4,187.15 is: 6,280.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,429.01 : 15,643.11 = 4,187.15 : x
  2. Step 2: Convert to fraction form
    10,429.01/15,643.11 = 4,187.15/x
  3. Step 3: Cross multiply
    10,429.01x = 15,643.11 × 4,187.15
  4. Step 4: Simplify right side
    10,429.01x = 65,500,048.04
  5. Step 5: Solve for x
    x = 65,500,048.04/10,429.01
  6. Step 6: Final answer
    x = 6,280.56

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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.