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Finding the Fourth Proportional to 8,419.09, 12,656.32 and 7,810.15

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Solution

The fourth proportional to 8,419.09, 12,656.32 and 7,810.15 is: 11,740.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,419.09 : 12,656.32 = 7,810.15 : x
  2. Step 2: Convert to fraction form
    8,419.09/12,656.32 = 7,810.15/x
  3. Step 3: Cross multiply
    8,419.09x = 12,656.32 × 7,810.15
  4. Step 4: Simplify right side
    8,419.09x = 98,847,757.65
  5. Step 5: Solve for x
    x = 98,847,757.65/8,419.09
  6. Step 6: Final answer
    x = 11,740.91

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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.