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Finding the Fourth Proportional to 7,143.84, 10,711.80 and 2,461.32

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Solution

The fourth proportional to 7,143.84, 10,711.80 and 2,461.32 is: 3,690.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.84 : 10,711.80 = 2,461.32 : x
  2. Step 2: Convert to fraction form
    7,143.84/10,711.80 = 2,461.32/x
  3. Step 3: Cross multiply
    7,143.84x = 10,711.80 × 2,461.32
  4. Step 4: Simplify right side
    7,143.84x = 26,365,167.58
  5. Step 5: Solve for x
    x = 26,365,167.58/7,143.84
  6. Step 6: Final answer
    x = 3,690.62

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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.