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Finding the Fourth Proportional to 10,385.88, 15,580.86 and 3,812.10

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Solution

The fourth proportional to 10,385.88, 15,580.86 and 3,812.10 is: 5,718.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,385.88 : 15,580.86 = 3,812.10 : x
  2. Step 2: Convert to fraction form
    10,385.88/15,580.86 = 3,812.10/x
  3. Step 3: Cross multiply
    10,385.88x = 15,580.86 × 3,812.10
  4. Step 4: Simplify right side
    10,385.88x = 59,395,796.41
  5. Step 5: Solve for x
    x = 59,395,796.41/10,385.88
  6. Step 6: Final answer
    x = 5,718.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.