Home / 10,724-16,094.64-5,531.36

Finding the Fourth Proportional to 10,724, 16,094.64 and 5,531.36

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Solution

The fourth proportional to 10,724, 16,094.64 and 5,531.36 is: 8,301.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,724 : 16,094.64 = 5,531.36 : x
  2. Step 2: Convert to fraction form
    10,724/16,094.64 = 5,531.36/x
  3. Step 3: Cross multiply
    10,724x = 16,094.64 × 5,531.36
  4. Step 4: Simplify right side
    10,724x = 89,025,247.91
  5. Step 5: Solve for x
    x = 89,025,247.91/10,724
  6. Step 6: Final answer
    x = 8,301.50

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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.