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Finding the Fourth Proportional to 10,948.02, 15,102.86 and 6,469.61

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Solution

The fourth proportional to 10,948.02, 15,102.86 and 6,469.61 is: 8,924.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,948.02 : 15,102.86 = 6,469.61 : x
  2. Step 2: Convert to fraction form
    10,948.02/15,102.86 = 6,469.61/x
  3. Step 3: Cross multiply
    10,948.02x = 15,102.86 × 6,469.61
  4. Step 4: Simplify right side
    10,948.02x = 97,709,506.22
  5. Step 5: Solve for x
    x = 97,709,506.22/10,948.02
  6. Step 6: Final answer
    x = 8,924.86

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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.