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Finding the Fourth Proportional to 11,282.18, 15,568.98 and 6,246

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Solution

The fourth proportional to 11,282.18, 15,568.98 and 6,246 is: 8,619.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,282.18 : 15,568.98 = 6,246 : x
  2. Step 2: Convert to fraction form
    11,282.18/15,568.98 = 6,246/x
  3. Step 3: Cross multiply
    11,282.18x = 15,568.98 × 6,246
  4. Step 4: Simplify right side
    11,282.18x = 97,243,849.08
  5. Step 5: Solve for x
    x = 97,243,849.08/11,282.18
  6. Step 6: Final answer
    x = 8,619.25

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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.