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Finding the Fourth Proportional to 10,614.84, 14,623.16 and 7,422.16

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Solution

The fourth proportional to 10,614.84, 14,623.16 and 7,422.16 is: 10,224.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,614.84 : 14,623.16 = 7,422.16 : x
  2. Step 2: Convert to fraction form
    10,614.84/14,623.16 = 7,422.16/x
  3. Step 3: Cross multiply
    10,614.84x = 14,623.16 × 7,422.16
  4. Step 4: Simplify right side
    10,614.84x = 108,535,442.23
  5. Step 5: Solve for x
    x = 108,535,442.23/10,614.84
  6. Step 6: Final answer
    x = 10,224.88

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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.