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Finding the Fourth Proportional to 10,491.01, 15,731.10 and 3,094.53

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Solution

The fourth proportional to 10,491.01, 15,731.10 and 3,094.53 is: 4,640.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,491.01 : 15,731.10 = 3,094.53 : x
  2. Step 2: Convert to fraction form
    10,491.01/15,731.10 = 3,094.53/x
  3. Step 3: Cross multiply
    10,491.01x = 15,731.10 × 3,094.53
  4. Step 4: Simplify right side
    10,491.01x = 48,680,360.88
  5. Step 5: Solve for x
    x = 48,680,360.88/10,491.01
  6. Step 6: Final answer
    x = 4,640.20

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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.