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Finding the Fourth Proportional to 7,700.56, 10,626.85 and 5,047.95

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Solution

The fourth proportional to 7,700.56, 10,626.85 and 5,047.95 is: 6,966.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,700.56 : 10,626.85 = 5,047.95 : x
  2. Step 2: Convert to fraction form
    7,700.56/10,626.85 = 5,047.95/x
  3. Step 3: Cross multiply
    7,700.56x = 10,626.85 × 5,047.95
  4. Step 4: Simplify right side
    7,700.56x = 53,643,735.56
  5. Step 5: Solve for x
    x = 53,643,735.56/7,700.56
  6. Step 6: Final answer
    x = 6,966.22

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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.