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Finding the Fourth Proportional to 7,870.58, 10,857.92 and 4,880.42

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Solution

The fourth proportional to 7,870.58, 10,857.92 and 4,880.42 is: 6,732.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.58 : 10,857.92 = 4,880.42 : x
  2. Step 2: Convert to fraction form
    7,870.58/10,857.92 = 4,880.42/x
  3. Step 3: Cross multiply
    7,870.58x = 10,857.92 × 4,880.42
  4. Step 4: Simplify right side
    7,870.58x = 52,991,209.93
  5. Step 5: Solve for x
    x = 52,991,209.93/7,870.58
  6. Step 6: Final answer
    x = 6,732.82

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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.