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Finding the Fourth Proportional to 11,449.68, 17,159.40 and 5,210.52

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Solution

The fourth proportional to 11,449.68, 17,159.40 and 5,210.52 is: 7,808.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,449.68 : 17,159.40 = 5,210.52 : x
  2. Step 2: Convert to fraction form
    11,449.68/17,159.40 = 5,210.52/x
  3. Step 3: Cross multiply
    11,449.68x = 17,159.40 × 5,210.52
  4. Step 4: Simplify right side
    11,449.68x = 89,409,396.89
  5. Step 5: Solve for x
    x = 89,409,396.89/11,449.68
  6. Step 6: Final answer
    x = 7,808.90

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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.