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Finding the Fourth Proportional to 8,644.90, 11,931.02 and 5,661.48

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Solution

The fourth proportional to 8,644.90, 11,931.02 and 5,661.48 is: 7,813.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,644.90 : 11,931.02 = 5,661.48 : x
  2. Step 2: Convert to fraction form
    8,644.90/11,931.02 = 5,661.48/x
  3. Step 3: Cross multiply
    8,644.90x = 11,931.02 × 5,661.48
  4. Step 4: Simplify right side
    8,644.90x = 67,547,231.11
  5. Step 5: Solve for x
    x = 67,547,231.11/8,644.90
  6. Step 6: Final answer
    x = 7,813.54

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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.