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Finding the Fourth Proportional to 7,720.80, 10,655.52 and 4,534.56

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Solution

The fourth proportional to 7,720.80, 10,655.52 and 4,534.56 is: 6,258.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,720.80 : 10,655.52 = 4,534.56 : x
  2. Step 2: Convert to fraction form
    7,720.80/10,655.52 = 4,534.56/x
  3. Step 3: Cross multiply
    7,720.80x = 10,655.52 × 4,534.56
  4. Step 4: Simplify right side
    7,720.80x = 48,318,094.77
  5. Step 5: Solve for x
    x = 48,318,094.77/7,720.80
  6. Step 6: Final answer
    x = 6,258.17

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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.