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Finding the Fourth Proportional to 7,720.72, 10,655.25 and 6,459.55

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Solution

The fourth proportional to 7,720.72, 10,655.25 and 6,459.55 is: 8,914.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,720.72 : 10,655.25 = 6,459.55 : x
  2. Step 2: Convert to fraction form
    7,720.72/10,655.25 = 6,459.55/x
  3. Step 3: Cross multiply
    7,720.72x = 10,655.25 × 6,459.55
  4. Step 4: Simplify right side
    7,720.72x = 68,828,069.28
  5. Step 5: Solve for x
    x = 68,828,069.28/7,720.72
  6. Step 6: Final answer
    x = 8,914.72

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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.