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Finding the Fourth Proportional to 7,838.78, 10,817.47 and 4,253.66

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Solution

The fourth proportional to 7,838.78, 10,817.47 and 4,253.66 is: 5,870.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.78 : 10,817.47 = 4,253.66 : x
  2. Step 2: Convert to fraction form
    7,838.78/10,817.47 = 4,253.66/x
  3. Step 3: Cross multiply
    7,838.78x = 10,817.47 × 4,253.66
  4. Step 4: Simplify right side
    7,838.78x = 46,013,764.08
  5. Step 5: Solve for x
    x = 46,013,764.08/7,838.78
  6. Step 6: Final answer
    x = 5,870.02

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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.