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Finding the Fourth Proportional to 7,740.82, 10,684.03 and 5,088.47

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Solution

The fourth proportional to 7,740.82, 10,684.03 and 5,088.47 is: 7,023.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,740.82 : 10,684.03 = 5,088.47 : x
  2. Step 2: Convert to fraction form
    7,740.82/10,684.03 = 5,088.47/x
  3. Step 3: Cross multiply
    7,740.82x = 10,684.03 × 5,088.47
  4. Step 4: Simplify right side
    7,740.82x = 54,365,355.32
  5. Step 5: Solve for x
    x = 54,365,355.32/7,740.82
  6. Step 6: Final answer
    x = 7,023.21

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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.