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Finding the Fourth Proportional to 11,974.32, 17,962.72 and 4,585

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Solution

The fourth proportional to 11,974.32, 17,962.72 and 4,585 is: 6,877.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,974.32 : 17,962.72 = 4,585 : x
  2. Step 2: Convert to fraction form
    11,974.32/17,962.72 = 4,585/x
  3. Step 3: Cross multiply
    11,974.32x = 17,962.72 × 4,585
  4. Step 4: Simplify right side
    11,974.32x = 82,359,071.20
  5. Step 5: Solve for x
    x = 82,359,071.20/11,974.32
  6. Step 6: Final answer
    x = 6,877.97

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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.