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Finding the Fourth Proportional to 7,877.32, 10,870.98 and 4,340.80

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Solution

The fourth proportional to 7,877.32, 10,870.98 and 4,340.80 is: 5,990.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877.32 : 10,870.98 = 4,340.80 : x
  2. Step 2: Convert to fraction form
    7,877.32/10,870.98 = 4,340.80/x
  3. Step 3: Cross multiply
    7,877.32x = 10,870.98 × 4,340.80
  4. Step 4: Simplify right side
    7,877.32x = 47,188,749.98
  5. Step 5: Solve for x
    x = 47,188,749.98/7,877.32
  6. Step 6: Final answer
    x = 5,990.46

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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.