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Finding the Fourth Proportional to 11,291.84, 15,579.16 and 6,575.24

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Solution

The fourth proportional to 11,291.84, 15,579.16 and 6,575.24 is: 9,071.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,291.84 : 15,579.16 = 6,575.24 : x
  2. Step 2: Convert to fraction form
    11,291.84/15,579.16 = 6,575.24/x
  3. Step 3: Cross multiply
    11,291.84x = 15,579.16 × 6,575.24
  4. Step 4: Simplify right side
    11,291.84x = 102,436,716.00
  5. Step 5: Solve for x
    x = 102,436,716.00/11,291.84
  6. Step 6: Final answer
    x = 9,071.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.