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Finding the Fourth Proportional to 7,208.61, 10,813.04 and 2,278.20

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Solution

The fourth proportional to 7,208.61, 10,813.04 and 2,278.20 is: 3,417.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,208.61 : 10,813.04 = 2,278.20 : x
  2. Step 2: Convert to fraction form
    7,208.61/10,813.04 = 2,278.20/x
  3. Step 3: Cross multiply
    7,208.61x = 10,813.04 × 2,278.20
  4. Step 4: Simplify right side
    7,208.61x = 24,634,256.34
  5. Step 5: Solve for x
    x = 24,634,256.34/7,208.61
  6. Step 6: Final answer
    x = 3,417.34

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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.