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Finding the Fourth Proportional to 7,208.52, 10,814.02 and 2,278.06

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Solution

The fourth proportional to 7,208.52, 10,814.02 and 2,278.06 is: 3,417.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,208.52 : 10,814.02 = 2,278.06 : x
  2. Step 2: Convert to fraction form
    7,208.52/10,814.02 = 2,278.06/x
  3. Step 3: Cross multiply
    7,208.52x = 10,814.02 × 2,278.06
  4. Step 4: Simplify right side
    7,208.52x = 24,634,986.40
  5. Step 5: Solve for x
    x = 24,634,986.40/7,208.52
  6. Step 6: Final answer
    x = 3,417.48

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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.