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Finding the Fourth Proportional to 10,648.48, 15,938.16 and 8,033.44

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Solution

The fourth proportional to 10,648.48, 15,938.16 and 8,033.44 is: 12,024.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,648.48 : 15,938.16 = 8,033.44 : x
  2. Step 2: Convert to fraction form
    10,648.48/15,938.16 = 8,033.44/x
  3. Step 3: Cross multiply
    10,648.48x = 15,938.16 × 8,033.44
  4. Step 4: Simplify right side
    10,648.48x = 128,038,252.07
  5. Step 5: Solve for x
    x = 128,038,252.07/10,648.48
  6. Step 6: Final answer
    x = 12,024.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.