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Finding the Fourth Proportional to 7,740.69, 10,681.85 and 4,203.82

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Solution

The fourth proportional to 7,740.69, 10,681.85 and 4,203.82 is: 5,801.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,740.69 : 10,681.85 = 4,203.82 : x
  2. Step 2: Convert to fraction form
    7,740.69/10,681.85 = 4,203.82/x
  3. Step 3: Cross multiply
    7,740.69x = 10,681.85 × 4,203.82
  4. Step 4: Simplify right side
    7,740.69x = 44,904,574.67
  5. Step 5: Solve for x
    x = 44,904,574.67/7,740.69
  6. Step 6: Final answer
    x = 5,801.11

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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.