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Finding the Fourth Proportional to 10,591.20, 15,881.76 and 6,210

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Solution

The fourth proportional to 10,591.20, 15,881.76 and 6,210 is: 9,312.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,591.20 : 15,881.76 = 6,210 : x
  2. Step 2: Convert to fraction form
    10,591.20/15,881.76 = 6,210/x
  3. Step 3: Cross multiply
    10,591.20x = 15,881.76 × 6,210
  4. Step 4: Simplify right side
    10,591.20x = 98,625,729.60
  5. Step 5: Solve for x
    x = 98,625,729.60/10,591.20
  6. Step 6: Final answer
    x = 9,312.04

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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.