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Finding the Fourth Proportional to 8,071.60, 12,107.40 and 6,535.60

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Solution

The fourth proportional to 8,071.60, 12,107.40 and 6,535.60 is: 9,803.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,071.60 : 12,107.40 = 6,535.60 : x
  2. Step 2: Convert to fraction form
    8,071.60/12,107.40 = 6,535.60/x
  3. Step 3: Cross multiply
    8,071.60x = 12,107.40 × 6,535.60
  4. Step 4: Simplify right side
    8,071.60x = 79,129,123.44
  5. Step 5: Solve for x
    x = 79,129,123.44/8,071.60
  6. Step 6: Final answer
    x = 9,803.40

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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.