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Finding the Fourth Proportional to 10,206.32, 15,310.72 and 7,577.08

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Solution

The fourth proportional to 10,206.32, 15,310.72 and 7,577.08 is: 11,366.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,206.32 : 15,310.72 = 7,577.08 : x
  2. Step 2: Convert to fraction form
    10,206.32/15,310.72 = 7,577.08/x
  3. Step 3: Cross multiply
    10,206.32x = 15,310.72 × 7,577.08
  4. Step 4: Simplify right side
    10,206.32x = 116,010,550.30
  5. Step 5: Solve for x
    x = 116,010,550.30/10,206.32
  6. Step 6: Final answer
    x = 11,366.54

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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.