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Finding the Fourth Proportional to 10,417.10, 14,375.54 and 5,701.37

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Solution

The fourth proportional to 10,417.10, 14,375.54 and 5,701.37 is: 7,867.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,417.10 : 14,375.54 = 5,701.37 : x
  2. Step 2: Convert to fraction form
    10,417.10/14,375.54 = 5,701.37/x
  3. Step 3: Cross multiply
    10,417.10x = 14,375.54 × 5,701.37
  4. Step 4: Simplify right side
    10,417.10x = 81,960,172.11
  5. Step 5: Solve for x
    x = 81,960,172.11/10,417.10
  6. Step 6: Final answer
    x = 7,867.85

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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.