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Finding the Fourth Proportional to 11,657.49, 17,482.59 and 5,077.05

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Solution

The fourth proportional to 11,657.49, 17,482.59 and 5,077.05 is: 7,613.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.49 : 17,482.59 = 5,077.05 : x
  2. Step 2: Convert to fraction form
    11,657.49/17,482.59 = 5,077.05/x
  3. Step 3: Cross multiply
    11,657.49x = 17,482.59 × 5,077.05
  4. Step 4: Simplify right side
    11,657.49x = 88,760,030.62
  5. Step 5: Solve for x
    x = 88,760,030.62/11,657.49
  6. Step 6: Final answer
    x = 7,613.99

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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.