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Finding the Fourth Proportional to 8,883.20, 13,308.60 and 5,416.40

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Solution

The fourth proportional to 8,883.20, 13,308.60 and 5,416.40 is: 8,114.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,883.20 : 13,308.60 = 5,416.40 : x
  2. Step 2: Convert to fraction form
    8,883.20/13,308.60 = 5,416.40/x
  3. Step 3: Cross multiply
    8,883.20x = 13,308.60 × 5,416.40
  4. Step 4: Simplify right side
    8,883.20x = 72,084,701.04
  5. Step 5: Solve for x
    x = 72,084,701.04/8,883.20
  6. Step 6: Final answer
    x = 8,114.72

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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.