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Finding the Fourth Proportional to 10,295.56, 15,447.30 and 4,058.56

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Solution

The fourth proportional to 10,295.56, 15,447.30 and 4,058.56 is: 6,089.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,295.56 : 15,447.30 = 4,058.56 : x
  2. Step 2: Convert to fraction form
    10,295.56/15,447.30 = 4,058.56/x
  3. Step 3: Cross multiply
    10,295.56x = 15,447.30 × 4,058.56
  4. Step 4: Simplify right side
    10,295.56x = 62,693,793.89
  5. Step 5: Solve for x
    x = 62,693,793.89/10,295.56
  6. Step 6: Final answer
    x = 6,089.40

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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.