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Finding the Fourth Proportional to 7,720.88, 10,655.24 and 4,363.84

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Solution

The fourth proportional to 7,720.88, 10,655.24 and 4,363.84 is: 6,022.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,720.88 : 10,655.24 = 4,363.84 : x
  2. Step 2: Convert to fraction form
    7,720.88/10,655.24 = 4,363.84/x
  3. Step 3: Cross multiply
    7,720.88x = 10,655.24 × 4,363.84
  4. Step 4: Simplify right side
    7,720.88x = 46,497,762.52
  5. Step 5: Solve for x
    x = 46,497,762.52/7,720.88
  6. Step 6: Final answer
    x = 6,022.34

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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.