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Finding the Fourth Proportional to 11,989.50, 16,547.65 and 7,517.09

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Solution

The fourth proportional to 11,989.50, 16,547.65 and 7,517.09 is: 10,374.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,989.50 : 16,547.65 = 7,517.09 : x
  2. Step 2: Convert to fraction form
    11,989.50/16,547.65 = 7,517.09/x
  3. Step 3: Cross multiply
    11,989.50x = 16,547.65 × 7,517.09
  4. Step 4: Simplify right side
    11,989.50x = 124,390,072.81
  5. Step 5: Solve for x
    x = 124,390,072.81/11,989.50
  6. Step 6: Final answer
    x = 10,374.92

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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.