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Finding the Fourth Proportional to 7,923.72, 10,934.82 and 4,387

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Solution

The fourth proportional to 7,923.72, 10,934.82 and 4,387 is: 6,054.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,923.72 : 10,934.82 = 4,387 : x
  2. Step 2: Convert to fraction form
    7,923.72/10,934.82 = 4,387/x
  3. Step 3: Cross multiply
    7,923.72x = 10,934.82 × 4,387
  4. Step 4: Simplify right side
    7,923.72x = 47,971,055.34
  5. Step 5: Solve for x
    x = 47,971,055.34/7,923.72
  6. Step 6: Final answer
    x = 6,054.11

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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.