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Finding the Fourth Proportional to 7,762.69, 10,710.89 and 5,077.84

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Solution

The fourth proportional to 7,762.69, 10,710.89 and 5,077.84 is: 7,006.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.69 : 10,710.89 = 5,077.84 : x
  2. Step 2: Convert to fraction form
    7,762.69/10,710.89 = 5,077.84/x
  3. Step 3: Cross multiply
    7,762.69x = 10,710.89 × 5,077.84
  4. Step 4: Simplify right side
    7,762.69x = 54,388,185.68
  5. Step 5: Solve for x
    x = 54,388,185.68/7,762.69
  6. Step 6: Final answer
    x = 7,006.36

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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.