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Finding the Fourth Proportional to 10,417.35, 14,375.96 and 5,701.66

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Solution

The fourth proportional to 10,417.35, 14,375.96 and 5,701.66 is: 7,868.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,417.35 : 14,375.96 = 5,701.66 : x
  2. Step 2: Convert to fraction form
    10,417.35/14,375.96 = 5,701.66/x
  3. Step 3: Cross multiply
    10,417.35x = 14,375.96 × 5,701.66
  4. Step 4: Simplify right side
    10,417.35x = 81,966,836.09
  5. Step 5: Solve for x
    x = 81,966,836.09/10,417.35
  6. Step 6: Final answer
    x = 7,868.30

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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.