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Finding the Fourth Proportional to 7,726.48, 11,569.12 and 5,266.12

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Solution

The fourth proportional to 7,726.48, 11,569.12 and 5,266.12 is: 7,885.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,726.48 : 11,569.12 = 5,266.12 : x
  2. Step 2: Convert to fraction form
    7,726.48/11,569.12 = 5,266.12/x
  3. Step 3: Cross multiply
    7,726.48x = 11,569.12 × 5,266.12
  4. Step 4: Simplify right side
    7,726.48x = 60,924,374.21
  5. Step 5: Solve for x
    x = 60,924,374.21/7,726.48
  6. Step 6: Final answer
    x = 7,885.14

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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.