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Finding the Fourth Proportional to 8,283.52, 12,419.61 and 4,332.34

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Solution

The fourth proportional to 8,283.52, 12,419.61 and 4,332.34 is: 6,495.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283.52 : 12,419.61 = 4,332.34 : x
  2. Step 2: Convert to fraction form
    8,283.52/12,419.61 = 4,332.34/x
  3. Step 3: Cross multiply
    8,283.52x = 12,419.61 × 4,332.34
  4. Step 4: Simplify right side
    8,283.52x = 53,805,973.19
  5. Step 5: Solve for x
    x = 53,805,973.19/8,283.52
  6. Step 6: Final answer
    x = 6,495.54

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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.