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Finding the Fourth Proportional to 7,158.10, 9,878.62 and 4,014.76

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Solution

The fourth proportional to 7,158.10, 9,878.62 and 4,014.76 is: 5,540.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,158.10 : 9,878.62 = 4,014.76 : x
  2. Step 2: Convert to fraction form
    7,158.10/9,878.62 = 4,014.76/x
  3. Step 3: Cross multiply
    7,158.10x = 9,878.62 × 4,014.76
  4. Step 4: Simplify right side
    7,158.10x = 39,660,288.43
  5. Step 5: Solve for x
    x = 39,660,288.43/7,158.10
  6. Step 6: Final answer
    x = 5,540.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.