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Finding the Fourth Proportional to 12,301.68, 16,975.28 and 7,586

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Solution

The fourth proportional to 12,301.68, 16,975.28 and 7,586 is: 10,468.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,301.68 : 16,975.28 = 7,586 : x
  2. Step 2: Convert to fraction form
    12,301.68/16,975.28 = 7,586/x
  3. Step 3: Cross multiply
    12,301.68x = 16,975.28 × 7,586
  4. Step 4: Simplify right side
    12,301.68x = 128,774,474.08
  5. Step 5: Solve for x
    x = 128,774,474.08/12,301.68
  6. Step 6: Final answer
    x = 10,468.04

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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.