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Finding the Fourth Proportional to 11,353.74, 15,668.16 and 6,317.84

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Solution

The fourth proportional to 11,353.74, 15,668.16 and 6,317.84 is: 8,718.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,353.74 : 15,668.16 = 6,317.84 : x
  2. Step 2: Convert to fraction form
    11,353.74/15,668.16 = 6,317.84/x
  3. Step 3: Cross multiply
    11,353.74x = 15,668.16 × 6,317.84
  4. Step 4: Simplify right side
    11,353.74x = 98,988,927.97
  5. Step 5: Solve for x
    x = 98,988,927.97/11,353.74
  6. Step 6: Final answer
    x = 8,718.62

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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.