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Finding the Fourth Proportional to 7,870.08, 11,705.91 and 7,168.80

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Solution

The fourth proportional to 7,870.08, 11,705.91 and 7,168.80 is: 10,662.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.08 : 11,705.91 = 7,168.80 : x
  2. Step 2: Convert to fraction form
    7,870.08/11,705.91 = 7,168.80/x
  3. Step 3: Cross multiply
    7,870.08x = 11,705.91 × 7,168.80
  4. Step 4: Simplify right side
    7,870.08x = 83,917,327.61
  5. Step 5: Solve for x
    x = 83,917,327.61/7,870.08
  6. Step 6: Final answer
    x = 10,662.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.