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Finding the Fourth Proportional to 10,884.67, 16,320.25 and 5,033.77

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Solution

The fourth proportional to 10,884.67, 16,320.25 and 5,033.77 is: 7,547.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,884.67 : 16,320.25 = 5,033.77 : x
  2. Step 2: Convert to fraction form
    10,884.67/16,320.25 = 5,033.77/x
  3. Step 3: Cross multiply
    10,884.67x = 16,320.25 × 5,033.77
  4. Step 4: Simplify right side
    10,884.67x = 82,152,384.84
  5. Step 5: Solve for x
    x = 82,152,384.84/10,884.67
  6. Step 6: Final answer
    x = 7,547.53

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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.