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Finding the Fourth Proportional to 7,703.08, 11,551.56 and 2,771.20

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Solution

The fourth proportional to 7,703.08, 11,551.56 and 2,771.20 is: 4,155.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,703.08 : 11,551.56 = 2,771.20 : x
  2. Step 2: Convert to fraction form
    7,703.08/11,551.56 = 2,771.20/x
  3. Step 3: Cross multiply
    7,703.08x = 11,551.56 × 2,771.20
  4. Step 4: Simplify right side
    7,703.08x = 32,011,683.07
  5. Step 5: Solve for x
    x = 32,011,683.07/7,703.08
  6. Step 6: Final answer
    x = 4,155.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.