Home / 10,947.52-16,409.76-5,464

Finding the Fourth Proportional to 10,947.52, 16,409.76 and 5,464

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Solution

The fourth proportional to 10,947.52, 16,409.76 and 5,464 is: 8,190.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,947.52 : 16,409.76 = 5,464 : x
  2. Step 2: Convert to fraction form
    10,947.52/16,409.76 = 5,464/x
  3. Step 3: Cross multiply
    10,947.52x = 16,409.76 × 5,464
  4. Step 4: Simplify right side
    10,947.52x = 89,662,928.64
  5. Step 5: Solve for x
    x = 89,662,928.64/10,947.52
  6. Step 6: Final answer
    x = 8,190.25

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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.