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Finding the Fourth Proportional to 11,646.52, 17,466.72 and 7,948.06

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Solution

The fourth proportional to 11,646.52, 17,466.72 and 7,948.06 is: 11,920.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.52 : 17,466.72 = 7,948.06 : x
  2. Step 2: Convert to fraction form
    11,646.52/17,466.72 = 7,948.06/x
  3. Step 3: Cross multiply
    11,646.52x = 17,466.72 × 7,948.06
  4. Step 4: Simplify right side
    11,646.52x = 138,826,538.56
  5. Step 5: Solve for x
    x = 138,826,538.56/11,646.52
  6. Step 6: Final answer
    x = 11,920.00

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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.