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Finding the Fourth Proportional to 10,774.40, 16,171.20 and 9,315.20

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Solution

The fourth proportional to 10,774.40, 16,171.20 and 9,315.20 is: 13,981.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,774.40 : 16,171.20 = 9,315.20 : x
  2. Step 2: Convert to fraction form
    10,774.40/16,171.20 = 9,315.20/x
  3. Step 3: Cross multiply
    10,774.40x = 16,171.20 × 9,315.20
  4. Step 4: Simplify right side
    10,774.40x = 150,637,962.24
  5. Step 5: Solve for x
    x = 150,637,962.24/10,774.40
  6. Step 6: Final answer
    x = 13,981.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.