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Finding the Fourth Proportional to 10,069.08, 15,081.72 and 4,864

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Solution

The fourth proportional to 10,069.08, 15,081.72 and 4,864 is: 7,285.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,069.08 : 15,081.72 = 4,864 : x
  2. Step 2: Convert to fraction form
    10,069.08/15,081.72 = 4,864/x
  3. Step 3: Cross multiply
    10,069.08x = 15,081.72 × 4,864
  4. Step 4: Simplify right side
    10,069.08x = 73,357,486.08
  5. Step 5: Solve for x
    x = 73,357,486.08/10,069.08
  6. Step 6: Final answer
    x = 7,285.42

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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.