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Finding the Fourth Proportional to 10,170.57, 15,252.31 and 4,833.12

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Solution

The fourth proportional to 10,170.57, 15,252.31 and 4,833.12 is: 7,248.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,170.57 : 15,252.31 = 4,833.12 : x
  2. Step 2: Convert to fraction form
    10,170.57/15,252.31 = 4,833.12/x
  3. Step 3: Cross multiply
    10,170.57x = 15,252.31 × 4,833.12
  4. Step 4: Simplify right side
    10,170.57x = 73,716,244.51
  5. Step 5: Solve for x
    x = 73,716,244.51/10,170.57
  6. Step 6: Final answer
    x = 7,248.00

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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.