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Finding the Fourth Proportional to 10,966.50, 15,133.77 and 5,998.50

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Solution

The fourth proportional to 10,966.50, 15,133.77 and 5,998.50 is: 8,277.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,966.50 : 15,133.77 = 5,998.50 : x
  2. Step 2: Convert to fraction form
    10,966.50/15,133.77 = 5,998.50/x
  3. Step 3: Cross multiply
    10,966.50x = 15,133.77 × 5,998.50
  4. Step 4: Simplify right side
    10,966.50x = 90,779,919.35
  5. Step 5: Solve for x
    x = 90,779,919.35/10,966.50
  6. Step 6: Final answer
    x = 8,277.93

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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.