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Finding the Fourth Proportional to 11,002.95, 16,506.86 and 5,459.31

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Solution

The fourth proportional to 11,002.95, 16,506.86 and 5,459.31 is: 8,190.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,002.95 : 16,506.86 = 5,459.31 : x
  2. Step 2: Convert to fraction form
    11,002.95/16,506.86 = 5,459.31/x
  3. Step 3: Cross multiply
    11,002.95x = 16,506.86 × 5,459.31
  4. Step 4: Simplify right side
    11,002.95x = 90,116,065.87
  5. Step 5: Solve for x
    x = 90,116,065.87/11,002.95
  6. Step 6: Final answer
    x = 8,190.17

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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.