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Finding the Fourth Proportional to 8,352.16, 12,530.70 and 2,509.66

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Solution

The fourth proportional to 8,352.16, 12,530.70 and 2,509.66 is: 3,765.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,352.16 : 12,530.70 = 2,509.66 : x
  2. Step 2: Convert to fraction form
    8,352.16/12,530.70 = 2,509.66/x
  3. Step 3: Cross multiply
    8,352.16x = 12,530.70 × 2,509.66
  4. Step 4: Simplify right side
    8,352.16x = 31,447,796.56
  5. Step 5: Solve for x
    x = 31,447,796.56/8,352.16
  6. Step 6: Final answer
    x = 3,765.23

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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.