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Finding the Fourth Proportional to 10,113.66, 15,170.02 and 3,541.32

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Solution

The fourth proportional to 10,113.66, 15,170.02 and 3,541.32 is: 5,311.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,113.66 : 15,170.02 = 3,541.32 : x
  2. Step 2: Convert to fraction form
    10,113.66/15,170.02 = 3,541.32/x
  3. Step 3: Cross multiply
    10,113.66x = 15,170.02 × 3,541.32
  4. Step 4: Simplify right side
    10,113.66x = 53,721,895.23
  5. Step 5: Solve for x
    x = 53,721,895.23/10,113.66
  6. Step 6: Final answer
    x = 5,311.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.