Home / 10,432.14-15,643-3,411.24

Finding the Fourth Proportional to 10,432.14, 15,643 and 3,411.24

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Solution

The fourth proportional to 10,432.14, 15,643 and 3,411.24 is: 5,115.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,432.14 : 15,643 = 3,411.24 : x
  2. Step 2: Convert to fraction form
    10,432.14/15,643 = 3,411.24/x
  3. Step 3: Cross multiply
    10,432.14x = 15,643 × 3,411.24
  4. Step 4: Simplify right side
    10,432.14x = 53,362,027.32
  5. Step 5: Solve for x
    x = 53,362,027.32/10,432.14
  6. Step 6: Final answer
    x = 5,115.16

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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.