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Finding the Fourth Proportional to 7,703.40, 11,533.08 and 5,101.08

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Solution

The fourth proportional to 7,703.40, 11,533.08 and 5,101.08 is: 7,637.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,703.40 : 11,533.08 = 5,101.08 : x
  2. Step 2: Convert to fraction form
    7,703.40/11,533.08 = 5,101.08/x
  3. Step 3: Cross multiply
    7,703.40x = 11,533.08 × 5,101.08
  4. Step 4: Simplify right side
    7,703.40x = 58,831,163.73
  5. Step 5: Solve for x
    x = 58,831,163.73/7,703.40
  6. Step 6: Final answer
    x = 7,637.04

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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.