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Finding the Fourth Proportional to 11,246.84, 15,523.80 and 6,530.24

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Solution

The fourth proportional to 11,246.84, 15,523.80 and 6,530.24 is: 9,013.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,246.84 : 15,523.80 = 6,530.24 : x
  2. Step 2: Convert to fraction form
    11,246.84/15,523.80 = 6,530.24/x
  3. Step 3: Cross multiply
    11,246.84x = 15,523.80 × 6,530.24
  4. Step 4: Simplify right side
    11,246.84x = 101,374,139.71
  5. Step 5: Solve for x
    x = 101,374,139.71/11,246.84
  6. Step 6: Final answer
    x = 9,013.57

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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.