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Finding the Fourth Proportional to 10,616.54, 15,931.21 and 3,695.90

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Solution

The fourth proportional to 10,616.54, 15,931.21 and 3,695.90 is: 5,546.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,616.54 : 15,931.21 = 3,695.90 : x
  2. Step 2: Convert to fraction form
    10,616.54/15,931.21 = 3,695.90/x
  3. Step 3: Cross multiply
    10,616.54x = 15,931.21 × 3,695.90
  4. Step 4: Simplify right side
    10,616.54x = 58,880,159.04
  5. Step 5: Solve for x
    x = 58,880,159.04/10,616.54
  6. Step 6: Final answer
    x = 5,546.08

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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.