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Finding the Fourth Proportional to 10,210.96, 15,317.88 and 3,635.74

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Solution

The fourth proportional to 10,210.96, 15,317.88 and 3,635.74 is: 5,454.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,210.96 : 15,317.88 = 3,635.74 : x
  2. Step 2: Convert to fraction form
    10,210.96/15,317.88 = 3,635.74/x
  3. Step 3: Cross multiply
    10,210.96x = 15,317.88 × 3,635.74
  4. Step 4: Simplify right side
    10,210.96x = 55,691,829.03
  5. Step 5: Solve for x
    x = 55,691,829.03/10,210.96
  6. Step 6: Final answer
    x = 5,454.12

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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.