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Finding the Fourth Proportional to 7,701.87, 10,628.55 and 4,165.08

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Solution

The fourth proportional to 7,701.87, 10,628.55 and 4,165.08 is: 5,747.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,701.87 : 10,628.55 = 4,165.08 : x
  2. Step 2: Convert to fraction form
    7,701.87/10,628.55 = 4,165.08/x
  3. Step 3: Cross multiply
    7,701.87x = 10,628.55 × 4,165.08
  4. Step 4: Simplify right side
    7,701.87x = 44,268,746.22
  5. Step 5: Solve for x
    x = 44,268,746.22/7,701.87
  6. Step 6: Final answer
    x = 5,747.79

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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.