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Finding the Fourth Proportional to 10,342.80, 14,272.68 and 5,866.64

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Solution

The fourth proportional to 10,342.80, 14,272.68 and 5,866.64 is: 8,095.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,342.80 : 14,272.68 = 5,866.64 : x
  2. Step 2: Convert to fraction form
    10,342.80/14,272.68 = 5,866.64/x
  3. Step 3: Cross multiply
    10,342.80x = 14,272.68 × 5,866.64
  4. Step 4: Simplify right side
    10,342.80x = 83,732,675.40
  5. Step 5: Solve for x
    x = 83,732,675.40/10,342.80
  6. Step 6: Final answer
    x = 8,095.75

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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.