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Finding the Fourth Proportional to 7,915.66, 10,923.57 and 4,378.80

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Solution

The fourth proportional to 7,915.66, 10,923.57 and 4,378.80 is: 6,042.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,915.66 : 10,923.57 = 4,378.80 : x
  2. Step 2: Convert to fraction form
    7,915.66/10,923.57 = 4,378.80/x
  3. Step 3: Cross multiply
    7,915.66x = 10,923.57 × 4,378.80
  4. Step 4: Simplify right side
    7,915.66x = 47,832,051.80
  5. Step 5: Solve for x
    x = 47,832,051.80/7,915.66
  6. Step 6: Final answer
    x = 6,042.71

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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.