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Finding the Fourth Proportional to 10,466.04, 15,700.68 and 3,540

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Solution

The fourth proportional to 10,466.04, 15,700.68 and 3,540 is: 5,310.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,466.04 : 15,700.68 = 3,540 : x
  2. Step 2: Convert to fraction form
    10,466.04/15,700.68 = 3,540/x
  3. Step 3: Cross multiply
    10,466.04x = 15,700.68 × 3,540
  4. Step 4: Simplify right side
    10,466.04x = 55,580,407.20
  5. Step 5: Solve for x
    x = 55,580,407.20/10,466.04
  6. Step 6: Final answer
    x = 5,310.55

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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.