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Finding the Fourth Proportional to 10,375.14, 14,317.80 and 5,659.47

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Solution

The fourth proportional to 10,375.14, 14,317.80 and 5,659.47 is: 7,810.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,375.14 : 14,317.80 = 5,659.47 : x
  2. Step 2: Convert to fraction form
    10,375.14/14,317.80 = 5,659.47/x
  3. Step 3: Cross multiply
    10,375.14x = 14,317.80 × 5,659.47
  4. Step 4: Simplify right side
    10,375.14x = 81,031,159.57
  5. Step 5: Solve for x
    x = 81,031,159.57/10,375.14
  6. Step 6: Final answer
    x = 7,810.13

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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.