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Finding the Fourth Proportional to 7,113.61, 10,665.84 and 2,956.49

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Solution

The fourth proportional to 7,113.61, 10,665.84 and 2,956.49 is: 4,432.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,113.61 : 10,665.84 = 2,956.49 : x
  2. Step 2: Convert to fraction form
    7,113.61/10,665.84 = 2,956.49/x
  3. Step 3: Cross multiply
    7,113.61x = 10,665.84 × 2,956.49
  4. Step 4: Simplify right side
    7,113.61x = 31,533,449.30
  5. Step 5: Solve for x
    x = 31,533,449.30/7,113.61
  6. Step 6: Final answer
    x = 4,432.83

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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.