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Finding the Fourth Proportional to 7,877.76, 10,872.40 and 4,521.60

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Solution

The fourth proportional to 7,877.76, 10,872.40 and 4,521.60 is: 6,240.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877.76 : 10,872.40 = 4,521.60 : x
  2. Step 2: Convert to fraction form
    7,877.76/10,872.40 = 4,521.60/x
  3. Step 3: Cross multiply
    7,877.76x = 10,872.40 × 4,521.60
  4. Step 4: Simplify right side
    7,877.76x = 49,160,643.84
  5. Step 5: Solve for x
    x = 49,160,643.84/7,877.76
  6. Step 6: Final answer
    x = 6,240.43

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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.