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Finding the Fourth Proportional to 7,782.94, 10,740.01 and 4,425.28

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Solution

The fourth proportional to 7,782.94, 10,740.01 and 4,425.28 is: 6,106.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.94 : 10,740.01 = 4,425.28 : x
  2. Step 2: Convert to fraction form
    7,782.94/10,740.01 = 4,425.28/x
  3. Step 3: Cross multiply
    7,782.94x = 10,740.01 × 4,425.28
  4. Step 4: Simplify right side
    7,782.94x = 47,527,551.45
  5. Step 5: Solve for x
    x = 47,527,551.45/7,782.94
  6. Step 6: Final answer
    x = 6,106.63

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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.