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Finding the Fourth Proportional to 8,533.40, 12,785.70 and 5,610.20

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Solution

The fourth proportional to 8,533.40, 12,785.70 and 5,610.20 is: 8,405.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,533.40 : 12,785.70 = 5,610.20 : x
  2. Step 2: Convert to fraction form
    8,533.40/12,785.70 = 5,610.20/x
  3. Step 3: Cross multiply
    8,533.40x = 12,785.70 × 5,610.20
  4. Step 4: Simplify right side
    8,533.40x = 71,730,334.14
  5. Step 5: Solve for x
    x = 71,730,334.14/8,533.40
  6. Step 6: Final answer
    x = 8,405.83

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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.