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Finding the Fourth Proportional to 8,533.70, 12,808.65 and 5,253.20

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Solution

The fourth proportional to 8,533.70, 12,808.65 and 5,253.20 is: 7,884.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,533.70 : 12,808.65 = 5,253.20 : x
  2. Step 2: Convert to fraction form
    8,533.70/12,808.65 = 5,253.20/x
  3. Step 3: Cross multiply
    8,533.70x = 12,808.65 × 5,253.20
  4. Step 4: Simplify right side
    8,533.70x = 67,286,400.18
  5. Step 5: Solve for x
    x = 67,286,400.18/8,533.70
  6. Step 6: Final answer
    x = 7,884.79

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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.