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Finding the Fourth Proportional to 8,189.12, 12,283.80 and 3,572

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Solution

The fourth proportional to 8,189.12, 12,283.80 and 3,572 is: 5,358.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189.12 : 12,283.80 = 3,572 : x
  2. Step 2: Convert to fraction form
    8,189.12/12,283.80 = 3,572/x
  3. Step 3: Cross multiply
    8,189.12x = 12,283.80 × 3,572
  4. Step 4: Simplify right side
    8,189.12x = 43,877,733.60
  5. Step 5: Solve for x
    x = 43,877,733.60/8,189.12
  6. Step 6: Final answer
    x = 5,358.05

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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.