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Finding the Fourth Proportional to 10,331.12, 15,462.27 and 7,852.08

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Solution

The fourth proportional to 10,331.12, 15,462.27 and 7,852.08 is: 11,751.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,331.12 : 15,462.27 = 7,852.08 : x
  2. Step 2: Convert to fraction form
    10,331.12/15,462.27 = 7,852.08/x
  3. Step 3: Cross multiply
    10,331.12x = 15,462.27 × 7,852.08
  4. Step 4: Simplify right side
    10,331.12x = 121,410,981.02
  5. Step 5: Solve for x
    x = 121,410,981.02/10,331.12
  6. Step 6: Final answer
    x = 11,751.96

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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.