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Finding the Fourth Proportional to 7,722.17, 11,583.14 and 1,878.79

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Solution

The fourth proportional to 7,722.17, 11,583.14 and 1,878.79 is: 2,818.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,722.17 : 11,583.14 = 1,878.79 : x
  2. Step 2: Convert to fraction form
    7,722.17/11,583.14 = 1,878.79/x
  3. Step 3: Cross multiply
    7,722.17x = 11,583.14 × 1,878.79
  4. Step 4: Simplify right side
    7,722.17x = 21,762,220.29
  5. Step 5: Solve for x
    x = 21,762,220.29/7,722.17
  6. Step 6: Final answer
    x = 2,818.15

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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.