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Finding the Fourth Proportional to 7,148.20, 9,855.93 and 6,151.76

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Solution

The fourth proportional to 7,148.20, 9,855.93 and 6,151.76 is: 8,482.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.20 : 9,855.93 = 6,151.76 : x
  2. Step 2: Convert to fraction form
    7,148.20/9,855.93 = 6,151.76/x
  3. Step 3: Cross multiply
    7,148.20x = 9,855.93 × 6,151.76
  4. Step 4: Simplify right side
    7,148.20x = 60,631,363.65
  5. Step 5: Solve for x
    x = 60,631,363.65/7,148.20
  6. Step 6: Final answer
    x = 8,482.05

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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.