Home / 10,946.40-16,424.28-5,102.16

Finding the Fourth Proportional to 10,946.40, 16,424.28 and 5,102.16

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Solution

The fourth proportional to 10,946.40, 16,424.28 and 5,102.16 is: 7,655.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,946.40 : 16,424.28 = 5,102.16 : x
  2. Step 2: Convert to fraction form
    10,946.40/16,424.28 = 5,102.16/x
  3. Step 3: Cross multiply
    10,946.40x = 16,424.28 × 5,102.16
  4. Step 4: Simplify right side
    10,946.40x = 83,799,304.44
  5. Step 5: Solve for x
    x = 83,799,304.44/10,946.40
  6. Step 6: Final answer
    x = 7,655.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.