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Finding the Fourth Proportional to 10,342.76, 14,270.58 and 5,865.48

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Solution

The fourth proportional to 10,342.76, 14,270.58 and 5,865.48 is: 8,092.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,342.76 : 14,270.58 = 5,865.48 : x
  2. Step 2: Convert to fraction form
    10,342.76/14,270.58 = 5,865.48/x
  3. Step 3: Cross multiply
    10,342.76x = 14,270.58 × 5,865.48
  4. Step 4: Simplify right side
    10,342.76x = 83,703,801.58
  5. Step 5: Solve for x
    x = 83,703,801.58/10,342.76
  6. Step 6: Final answer
    x = 8,092.99

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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.