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Finding the Fourth Proportional to 10,774.38, 14,860.21 and 7,373.40

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Solution

The fourth proportional to 10,774.38, 14,860.21 and 7,373.40 is: 10,169.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,774.38 : 14,860.21 = 7,373.40 : x
  2. Step 2: Convert to fraction form
    10,774.38/14,860.21 = 7,373.40/x
  3. Step 3: Cross multiply
    10,774.38x = 14,860.21 × 7,373.40
  4. Step 4: Simplify right side
    10,774.38x = 109,570,337.46
  5. Step 5: Solve for x
    x = 109,570,337.46/10,774.38
  6. Step 6: Final answer
    x = 10,169.53

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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.