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Finding the Fourth Proportional to 7,816.60, 11,722.13 and 2,884.91

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Solution

The fourth proportional to 7,816.60, 11,722.13 and 2,884.91 is: 4,326.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,816.60 : 11,722.13 = 2,884.91 : x
  2. Step 2: Convert to fraction form
    7,816.60/11,722.13 = 2,884.91/x
  3. Step 3: Cross multiply
    7,816.60x = 11,722.13 × 2,884.91
  4. Step 4: Simplify right side
    7,816.60x = 33,817,275.63
  5. Step 5: Solve for x
    x = 33,817,275.63/7,816.60
  6. Step 6: Final answer
    x = 4,326.34

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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.