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Finding the Fourth Proportional to 11,456.68, 15,809.47 and 6,740.05

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Solution

The fourth proportional to 11,456.68, 15,809.47 and 6,740.05 is: 9,300.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,456.68 : 15,809.47 = 6,740.05 : x
  2. Step 2: Convert to fraction form
    11,456.68/15,809.47 = 6,740.05/x
  3. Step 3: Cross multiply
    11,456.68x = 15,809.47 × 6,740.05
  4. Step 4: Simplify right side
    11,456.68x = 106,556,618.27
  5. Step 5: Solve for x
    x = 106,556,618.27/11,456.68
  6. Step 6: Final answer
    x = 9,300.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.