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Finding the Fourth Proportional to 10,154.16, 14,031 and 7,921.68

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Solution

The fourth proportional to 10,154.16, 14,031 and 7,921.68 is: 10,946.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,154.16 : 14,031 = 7,921.68 : x
  2. Step 2: Convert to fraction form
    10,154.16/14,031 = 7,921.68/x
  3. Step 3: Cross multiply
    10,154.16x = 14,031 × 7,921.68
  4. Step 4: Simplify right side
    10,154.16x = 111,149,092.08
  5. Step 5: Solve for x
    x = 111,149,092.08/10,154.16
  6. Step 6: Final answer
    x = 10,946.16

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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.