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Finding the Fourth Proportional to 7,141.88, 10,710.76 and 2,461.70

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Solution

The fourth proportional to 7,141.88, 10,710.76 and 2,461.70 is: 3,691.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.88 : 10,710.76 = 2,461.70 : x
  2. Step 2: Convert to fraction form
    7,141.88/10,710.76 = 2,461.70/x
  3. Step 3: Cross multiply
    7,141.88x = 10,710.76 × 2,461.70
  4. Step 4: Simplify right side
    7,141.88x = 26,366,677.89
  5. Step 5: Solve for x
    x = 26,366,677.89/7,141.88
  6. Step 6: Final answer
    x = 3,691.84

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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.