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Finding the Fourth Proportional to 10,056.80, 13,881.36 and 6,520.24

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Solution

The fourth proportional to 10,056.80, 13,881.36 and 6,520.24 is: 8,999.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,056.80 : 13,881.36 = 6,520.24 : x
  2. Step 2: Convert to fraction form
    10,056.80/13,881.36 = 6,520.24/x
  3. Step 3: Cross multiply
    10,056.80x = 13,881.36 × 6,520.24
  4. Step 4: Simplify right side
    10,056.80x = 90,509,798.73
  5. Step 5: Solve for x
    x = 90,509,798.73/10,056.80
  6. Step 6: Final answer
    x = 8,999.86

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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.