Home / 7,742.16-10,688.76-5,094

Finding the Fourth Proportional to 7,742.16, 10,688.76 and 5,094

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Solution

The fourth proportional to 7,742.16, 10,688.76 and 5,094 is: 7,032.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,742.16 : 10,688.76 = 5,094 : x
  2. Step 2: Convert to fraction form
    7,742.16/10,688.76 = 5,094/x
  3. Step 3: Cross multiply
    7,742.16x = 10,688.76 × 5,094
  4. Step 4: Simplify right side
    7,742.16x = 54,448,543.44
  5. Step 5: Solve for x
    x = 54,448,543.44/7,742.16
  6. Step 6: Final answer
    x = 7,032.73

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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.