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Finding the Fourth Proportional to 7,811.60, 11,716.19 and 2,878.70

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Solution

The fourth proportional to 7,811.60, 11,716.19 and 2,878.70 is: 4,317.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,811.60 : 11,716.19 = 2,878.70 : x
  2. Step 2: Convert to fraction form
    7,811.60/11,716.19 = 2,878.70/x
  3. Step 3: Cross multiply
    7,811.60x = 11,716.19 × 2,878.70
  4. Step 4: Simplify right side
    7,811.60x = 33,727,381.76
  5. Step 5: Solve for x
    x = 33,727,381.76/7,811.60
  6. Step 6: Final answer
    x = 4,317.60

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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.