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Finding the Fourth Proportional to 10,223.66, 14,108.80 and 5,975.84

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Solution

The fourth proportional to 10,223.66, 14,108.80 and 5,975.84 is: 8,246.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,223.66 : 14,108.80 = 5,975.84 : x
  2. Step 2: Convert to fraction form
    10,223.66/14,108.80 = 5,975.84/x
  3. Step 3: Cross multiply
    10,223.66x = 14,108.80 × 5,975.84
  4. Step 4: Simplify right side
    10,223.66x = 84,311,931.39
  5. Step 5: Solve for x
    x = 84,311,931.39/10,223.66
  6. Step 6: Final answer
    x = 8,246.75

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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.