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Finding the Fourth Proportional to 10,417.44, 14,375.68 and 5,701.76

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Solution

The fourth proportional to 10,417.44, 14,375.68 and 5,701.76 is: 7,868.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,417.44 : 14,375.68 = 5,701.76 : x
  2. Step 2: Convert to fraction form
    10,417.44/14,375.68 = 5,701.76/x
  3. Step 3: Cross multiply
    10,417.44x = 14,375.68 × 5,701.76
  4. Step 4: Simplify right side
    10,417.44x = 81,966,677.20
  5. Step 5: Solve for x
    x = 81,966,677.20/10,417.44
  6. Step 6: Final answer
    x = 7,868.22

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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.