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Finding the Fourth Proportional to 7,158.06, 9,878.76 and 4,174.19

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Solution

The fourth proportional to 7,158.06, 9,878.76 and 4,174.19 is: 5,760.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,158.06 : 9,878.76 = 4,174.19 : x
  2. Step 2: Convert to fraction form
    7,158.06/9,878.76 = 4,174.19/x
  3. Step 3: Cross multiply
    7,158.06x = 9,878.76 × 4,174.19
  4. Step 4: Simplify right side
    7,158.06x = 41,235,821.20
  5. Step 5: Solve for x
    x = 41,235,821.20/7,158.06
  6. Step 6: Final answer
    x = 5,760.75

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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.