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Finding the Fourth Proportional to 10,951.16, 16,395.08 and 6,434.55

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Solution

The fourth proportional to 10,951.16, 16,395.08 and 6,434.55 is: 9,633.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,951.16 : 16,395.08 = 6,434.55 : x
  2. Step 2: Convert to fraction form
    10,951.16/16,395.08 = 6,434.55/x
  3. Step 3: Cross multiply
    10,951.16x = 16,395.08 × 6,434.55
  4. Step 4: Simplify right side
    10,951.16x = 105,494,929.84
  5. Step 5: Solve for x
    x = 105,494,929.84/10,951.16
  6. Step 6: Final answer
    x = 9,633.22

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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.