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Finding the Fourth Proportional to 11,184.38, 15,407.75 and 7,820.90

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Solution

The fourth proportional to 11,184.38, 15,407.75 and 7,820.90 is: 10,774.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,184.38 : 15,407.75 = 7,820.90 : x
  2. Step 2: Convert to fraction form
    11,184.38/15,407.75 = 7,820.90/x
  3. Step 3: Cross multiply
    11,184.38x = 15,407.75 × 7,820.90
  4. Step 4: Simplify right side
    11,184.38x = 120,502,471.98
  5. Step 5: Solve for x
    x = 120,502,471.98/11,184.38
  6. Step 6: Final answer
    x = 10,774.18

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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.