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Finding the Fourth Proportional to 11,176.40, 16,774.05 and 4,607.30

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Solution

The fourth proportional to 11,176.40, 16,774.05 and 4,607.30 is: 6,914.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,176.40 : 16,774.05 = 4,607.30 : x
  2. Step 2: Convert to fraction form
    11,176.40/16,774.05 = 4,607.30/x
  3. Step 3: Cross multiply
    11,176.40x = 16,774.05 × 4,607.30
  4. Step 4: Simplify right side
    11,176.40x = 77,283,080.57
  5. Step 5: Solve for x
    x = 77,283,080.57/11,176.40
  6. Step 6: Final answer
    x = 6,914.85

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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.