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Finding the Fourth Proportional to 11,461.19, 15,815.07 and 6,425.10

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Solution

The fourth proportional to 11,461.19, 15,815.07 and 6,425.10 is: 8,865.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,461.19 : 15,815.07 = 6,425.10 : x
  2. Step 2: Convert to fraction form
    11,461.19/15,815.07 = 6,425.10/x
  3. Step 3: Cross multiply
    11,461.19x = 15,815.07 × 6,425.10
  4. Step 4: Simplify right side
    11,461.19x = 101,613,406.26
  5. Step 5: Solve for x
    x = 101,613,406.26/11,461.19
  6. Step 6: Final answer
    x = 8,865.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.