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Finding the Fourth Proportional to 7,377.06, 10,184.06 and 4,862.82

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Solution

The fourth proportional to 7,377.06, 10,184.06 and 4,862.82 is: 6,713.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,377.06 : 10,184.06 = 4,862.82 : x
  2. Step 2: Convert to fraction form
    7,377.06/10,184.06 = 4,862.82/x
  3. Step 3: Cross multiply
    7,377.06x = 10,184.06 × 4,862.82
  4. Step 4: Simplify right side
    7,377.06x = 49,523,250.65
  5. Step 5: Solve for x
    x = 49,523,250.65/7,377.06
  6. Step 6: Final answer
    x = 6,713.14

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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.