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Finding the Fourth Proportional to 7,878.27, 10,870.50 and 4,894.83

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Solution

The fourth proportional to 7,878.27, 10,870.50 and 4,894.83 is: 6,753.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.27 : 10,870.50 = 4,894.83 : x
  2. Step 2: Convert to fraction form
    7,878.27/10,870.50 = 4,894.83/x
  3. Step 3: Cross multiply
    7,878.27x = 10,870.50 × 4,894.83
  4. Step 4: Simplify right side
    7,878.27x = 53,209,249.52
  5. Step 5: Solve for x
    x = 53,209,249.52/7,878.27
  6. Step 6: Final answer
    x = 6,753.93

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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.