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Finding the Fourth Proportional to 10,438.01, 15,653.12 and 4,195.91

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Solution

The fourth proportional to 10,438.01, 15,653.12 and 4,195.91 is: 6,292.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,438.01 : 15,653.12 = 4,195.91 : x
  2. Step 2: Convert to fraction form
    10,438.01/15,653.12 = 4,195.91/x
  3. Step 3: Cross multiply
    10,438.01x = 15,653.12 × 4,195.91
  4. Step 4: Simplify right side
    10,438.01x = 65,679,132.36
  5. Step 5: Solve for x
    x = 65,679,132.36/10,438.01
  6. Step 6: Final answer
    x = 6,292.30

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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.