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Finding the Fourth Proportional to 7,803.28, 11,703.66 and 2,871.70

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Solution

The fourth proportional to 7,803.28, 11,703.66 and 2,871.70 is: 4,307.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.28 : 11,703.66 = 2,871.70 : x
  2. Step 2: Convert to fraction form
    7,803.28/11,703.66 = 2,871.70/x
  3. Step 3: Cross multiply
    7,803.28x = 11,703.66 × 2,871.70
  4. Step 4: Simplify right side
    7,803.28x = 33,609,400.42
  5. Step 5: Solve for x
    x = 33,609,400.42/7,803.28
  6. Step 6: Final answer
    x = 4,307.09

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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.