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Finding the Fourth Proportional to 12,652.96, 17,461.20 and 7,348

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Solution

The fourth proportional to 12,652.96, 17,461.20 and 7,348 is: 10,140.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,652.96 : 17,461.20 = 7,348 : x
  2. Step 2: Convert to fraction form
    12,652.96/17,461.20 = 7,348/x
  3. Step 3: Cross multiply
    12,652.96x = 17,461.20 × 7,348
  4. Step 4: Simplify right side
    12,652.96x = 128,304,897.60
  5. Step 5: Solve for x
    x = 128,304,897.60/12,652.96
  6. Step 6: Final answer
    x = 10,140.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.