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Finding the Fourth Proportional to 7,878.06, 11,807.52 and 3,713.19

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Solution

The fourth proportional to 7,878.06, 11,807.52 and 3,713.19 is: 5,565.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.06 : 11,807.52 = 3,713.19 : x
  2. Step 2: Convert to fraction form
    7,878.06/11,807.52 = 3,713.19/x
  3. Step 3: Cross multiply
    7,878.06x = 11,807.52 × 3,713.19
  4. Step 4: Simplify right side
    7,878.06x = 43,843,594.29
  5. Step 5: Solve for x
    x = 43,843,594.29/7,878.06
  6. Step 6: Final answer
    x = 5,565.28

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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.