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Finding the Fourth Proportional to 10,422.16, 15,618.68 and 7,486.72

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Solution

The fourth proportional to 10,422.16, 15,618.68 and 7,486.72 is: 11,219.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,422.16 : 15,618.68 = 7,486.72 : x
  2. Step 2: Convert to fraction form
    10,422.16/15,618.68 = 7,486.72/x
  3. Step 3: Cross multiply
    10,422.16x = 15,618.68 × 7,486.72
  4. Step 4: Simplify right side
    10,422.16x = 116,932,683.93
  5. Step 5: Solve for x
    x = 116,932,683.93/10,422.16
  6. Step 6: Final answer
    x = 11,219.62

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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.