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Finding the Fourth Proportional to 7,744.95, 10,688.09 and 4,387.77

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Solution

The fourth proportional to 7,744.95, 10,688.09 and 4,387.77 is: 6,055.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.95 : 10,688.09 = 4,387.77 : x
  2. Step 2: Convert to fraction form
    7,744.95/10,688.09 = 4,387.77/x
  3. Step 3: Cross multiply
    7,744.95x = 10,688.09 × 4,387.77
  4. Step 4: Simplify right side
    7,744.95x = 46,896,858.72
  5. Step 5: Solve for x
    x = 46,896,858.72/7,744.95
  6. Step 6: Final answer
    x = 6,055.15

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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.