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Finding the Fourth Proportional to 10,993.59, 16,484.57 and 5,065.30

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Solution

The fourth proportional to 10,993.59, 16,484.57 and 5,065.30 is: 7,595.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,993.59 : 16,484.57 = 5,065.30 : x
  2. Step 2: Convert to fraction form
    10,993.59/16,484.57 = 5,065.30/x
  3. Step 3: Cross multiply
    10,993.59x = 16,484.57 × 5,065.30
  4. Step 4: Simplify right side
    10,993.59x = 83,499,292.42
  5. Step 5: Solve for x
    x = 83,499,292.42/10,993.59
  6. Step 6: Final answer
    x = 7,595.27

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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.