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Finding the Fourth Proportional to 10,661.20, 15,999.80 and 5,464.40

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Solution

The fourth proportional to 10,661.20, 15,999.80 and 5,464.40 is: 8,200.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,661.20 : 15,999.80 = 5,464.40 : x
  2. Step 2: Convert to fraction form
    10,661.20/15,999.80 = 5,464.40/x
  3. Step 3: Cross multiply
    10,661.20x = 15,999.80 × 5,464.40
  4. Step 4: Simplify right side
    10,661.20x = 87,429,307.12
  5. Step 5: Solve for x
    x = 87,429,307.12/10,661.20
  6. Step 6: Final answer
    x = 8,200.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.