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Finding the Fourth Proportional to 11,948.66, 16,482.92 and 7,166.30

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Solution

The fourth proportional to 11,948.66, 16,482.92 and 7,166.30 is: 9,885.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,948.66 : 16,482.92 = 7,166.30 : x
  2. Step 2: Convert to fraction form
    11,948.66/16,482.92 = 7,166.30/x
  3. Step 3: Cross multiply
    11,948.66x = 16,482.92 × 7,166.30
  4. Step 4: Simplify right side
    11,948.66x = 118,121,485.10
  5. Step 5: Solve for x
    x = 118,121,485.10/11,948.66
  6. Step 6: Final answer
    x = 9,885.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.