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Finding the Fourth Proportional to 10,323.16, 14,247.84 and 6,133.84

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Solution

The fourth proportional to 10,323.16, 14,247.84 and 6,133.84 is: 8,465.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,323.16 : 14,247.84 = 6,133.84 : x
  2. Step 2: Convert to fraction form
    10,323.16/14,247.84 = 6,133.84/x
  3. Step 3: Cross multiply
    10,323.16x = 14,247.84 × 6,133.84
  4. Step 4: Simplify right side
    10,323.16x = 87,393,970.91
  5. Step 5: Solve for x
    x = 87,393,970.91/10,323.16
  6. Step 6: Final answer
    x = 8,465.82

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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.