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Finding the Fourth Proportional to 7,848.64, 10,838.15 and 5,855.73

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Solution

The fourth proportional to 7,848.64, 10,838.15 and 5,855.73 is: 8,086.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,848.64 : 10,838.15 = 5,855.73 : x
  2. Step 2: Convert to fraction form
    7,848.64/10,838.15 = 5,855.73/x
  3. Step 3: Cross multiply
    7,848.64x = 10,838.15 × 5,855.73
  4. Step 4: Simplify right side
    7,848.64x = 63,465,280.10
  5. Step 5: Solve for x
    x = 63,465,280.10/7,848.64
  6. Step 6: Final answer
    x = 8,086.15

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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.