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Finding the Fourth Proportional to 10,393.47, 14,342.36 and 5,677.47

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Solution

The fourth proportional to 10,393.47, 14,342.36 and 5,677.47 is: 7,834.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,393.47 : 14,342.36 = 5,677.47 : x
  2. Step 2: Convert to fraction form
    10,393.47/14,342.36 = 5,677.47/x
  3. Step 3: Cross multiply
    10,393.47x = 14,342.36 × 5,677.47
  4. Step 4: Simplify right side
    10,393.47x = 81,428,290.24
  5. Step 5: Solve for x
    x = 81,428,290.24/10,393.47
  6. Step 6: Final answer
    x = 7,834.56

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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.