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Finding the Fourth Proportional to 7,141.62, 10,709.76 and 2,460.30

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Solution

The fourth proportional to 7,141.62, 10,709.76 and 2,460.30 is: 3,689.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.62 : 10,709.76 = 2,460.30 : x
  2. Step 2: Convert to fraction form
    7,141.62/10,709.76 = 2,460.30/x
  3. Step 3: Cross multiply
    7,141.62x = 10,709.76 × 2,460.30
  4. Step 4: Simplify right side
    7,141.62x = 26,349,222.53
  5. Step 5: Solve for x
    x = 26,349,222.53/7,141.62
  6. Step 6: Final answer
    x = 3,689.53

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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.