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Finding the Fourth Proportional to 10,496.84, 15,742.13 and 3,101.13

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Solution

The fourth proportional to 10,496.84, 15,742.13 and 3,101.13 is: 4,650.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,496.84 : 15,742.13 = 3,101.13 : x
  2. Step 2: Convert to fraction form
    10,496.84/15,742.13 = 3,101.13/x
  3. Step 3: Cross multiply
    10,496.84x = 15,742.13 × 3,101.13
  4. Step 4: Simplify right side
    10,496.84x = 48,818,376.10
  5. Step 5: Solve for x
    x = 48,818,376.10/10,496.84
  6. Step 6: Final answer
    x = 4,650.77

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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.