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Finding the Fourth Proportional to 10,624.20, 14,661.06 and 5,844.12

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Solution

The fourth proportional to 10,624.20, 14,661.06 and 5,844.12 is: 8,064.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,624.20 : 14,661.06 = 5,844.12 : x
  2. Step 2: Convert to fraction form
    10,624.20/14,661.06 = 5,844.12/x
  3. Step 3: Cross multiply
    10,624.20x = 14,661.06 × 5,844.12
  4. Step 4: Simplify right side
    10,624.20x = 85,680,917.07
  5. Step 5: Solve for x
    x = 85,680,917.07/10,624.20
  6. Step 6: Final answer
    x = 8,064.70

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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.