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Finding the Fourth Proportional to 11,370, 15,690.76 and 6,402

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Solution

The fourth proportional to 11,370, 15,690.76 and 6,402 is: 8,834.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,370 : 15,690.76 = 6,402 : x
  2. Step 2: Convert to fraction form
    11,370/15,690.76 = 6,402/x
  3. Step 3: Cross multiply
    11,370x = 15,690.76 × 6,402
  4. Step 4: Simplify right side
    11,370x = 100,452,245.52
  5. Step 5: Solve for x
    x = 100,452,245.52/11,370
  6. Step 6: Final answer
    x = 8,834.85

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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.