Home / 10,457.95-14,432-5,742.54

Finding the Fourth Proportional to 10,457.95, 14,432 and 5,742.54

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Solution

The fourth proportional to 10,457.95, 14,432 and 5,742.54 is: 7,924.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,457.95 : 14,432 = 5,742.54 : x
  2. Step 2: Convert to fraction form
    10,457.95/14,432 = 5,742.54/x
  3. Step 3: Cross multiply
    10,457.95x = 14,432 × 5,742.54
  4. Step 4: Simplify right side
    10,457.95x = 82,876,337.28
  5. Step 5: Solve for x
    x = 82,876,337.28/10,457.95
  6. Step 6: Final answer
    x = 7,924.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.