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Finding the Fourth Proportional to 10,283.52, 15,424.62 and 3,263.40

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Solution

The fourth proportional to 10,283.52, 15,424.62 and 3,263.40 is: 4,894.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,283.52 : 15,424.62 = 3,263.40 : x
  2. Step 2: Convert to fraction form
    10,283.52/15,424.62 = 3,263.40/x
  3. Step 3: Cross multiply
    10,283.52x = 15,424.62 × 3,263.40
  4. Step 4: Simplify right side
    10,283.52x = 50,336,704.91
  5. Step 5: Solve for x
    x = 50,336,704.91/10,283.52
  6. Step 6: Final answer
    x = 4,894.89

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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.