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Finding the Fourth Proportional to 10,245.06, 15,357.87 and 5,856.48

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Solution

The fourth proportional to 10,245.06, 15,357.87 and 5,856.48 is: 8,779.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,245.06 : 15,357.87 = 5,856.48 : x
  2. Step 2: Convert to fraction form
    10,245.06/15,357.87 = 5,856.48/x
  3. Step 3: Cross multiply
    10,245.06x = 15,357.87 × 5,856.48
  4. Step 4: Simplify right side
    10,245.06x = 89,943,058.50
  5. Step 5: Solve for x
    x = 89,943,058.50/10,245.06
  6. Step 6: Final answer
    x = 8,779.16

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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.