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Finding the Fourth Proportional to 11,807.15, 17,705.07 and 6,878.19

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Solution

The fourth proportional to 11,807.15, 17,705.07 and 6,878.19 is: 10,314.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,807.15 : 17,705.07 = 6,878.19 : x
  2. Step 2: Convert to fraction form
    11,807.15/17,705.07 = 6,878.19/x
  3. Step 3: Cross multiply
    11,807.15x = 17,705.07 × 6,878.19
  4. Step 4: Simplify right side
    11,807.15x = 121,778,835.42
  5. Step 5: Solve for x
    x = 121,778,835.42/11,807.15
  6. Step 6: Final answer
    x = 10,314.00

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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.