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Finding the Fourth Proportional to 7,759.47, 10,707.84 and 4,402.59

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Solution

The fourth proportional to 7,759.47, 10,707.84 and 4,402.59 is: 6,075.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,759.47 : 10,707.84 = 4,402.59 : x
  2. Step 2: Convert to fraction form
    7,759.47/10,707.84 = 4,402.59/x
  3. Step 3: Cross multiply
    7,759.47x = 10,707.84 × 4,402.59
  4. Step 4: Simplify right side
    7,759.47x = 47,142,229.31
  5. Step 5: Solve for x
    x = 47,142,229.31/7,759.47
  6. Step 6: Final answer
    x = 6,075.45

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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.