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Finding the Fourth Proportional to 10,417.28, 14,375.82 and 5,701.52

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Solution

The fourth proportional to 10,417.28, 14,375.82 and 5,701.52 is: 7,868.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,417.28 : 14,375.82 = 5,701.52 : x
  2. Step 2: Convert to fraction form
    10,417.28/14,375.82 = 5,701.52/x
  3. Step 3: Cross multiply
    10,417.28x = 14,375.82 × 5,701.52
  4. Step 4: Simplify right side
    10,417.28x = 81,964,025.25
  5. Step 5: Solve for x
    x = 81,964,025.25/10,417.28
  6. Step 6: Final answer
    x = 7,868.08

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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.