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Finding the Fourth Proportional to 7,151.06, 9,855.15 and 5,158.10

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Solution

The fourth proportional to 7,151.06, 9,855.15 and 5,158.10 is: 7,108.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151.06 : 9,855.15 = 5,158.10 : x
  2. Step 2: Convert to fraction form
    7,151.06/9,855.15 = 5,158.10/x
  3. Step 3: Cross multiply
    7,151.06x = 9,855.15 × 5,158.10
  4. Step 4: Simplify right side
    7,151.06x = 50,833,849.22
  5. Step 5: Solve for x
    x = 50,833,849.22/7,151.06
  6. Step 6: Final answer
    x = 7,108.58

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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.