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Finding the Fourth Proportional to 7,712.66, 11,569 and 1,869.26

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Solution

The fourth proportional to 7,712.66, 11,569 and 1,869.26 is: 2,803.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712.66 : 11,569 = 1,869.26 : x
  2. Step 2: Convert to fraction form
    7,712.66/11,569 = 1,869.26/x
  3. Step 3: Cross multiply
    7,712.66x = 11,569 × 1,869.26
  4. Step 4: Simplify right side
    7,712.66x = 21,625,468.94
  5. Step 5: Solve for x
    x = 21,625,468.94/7,712.66
  6. Step 6: Final answer
    x = 2,803.89

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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.