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Finding the Fourth Proportional to 10,159.46, 14,019.98 and 5,910.60

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Solution

The fourth proportional to 10,159.46, 14,019.98 and 5,910.60 is: 8,156.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,159.46 : 14,019.98 = 5,910.60 : x
  2. Step 2: Convert to fraction form
    10,159.46/14,019.98 = 5,910.60/x
  3. Step 3: Cross multiply
    10,159.46x = 14,019.98 × 5,910.60
  4. Step 4: Simplify right side
    10,159.46x = 82,866,493.79
  5. Step 5: Solve for x
    x = 82,866,493.79/10,159.46
  6. Step 6: Final answer
    x = 8,156.58

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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.