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Finding the Fourth Proportional to 8,278.02, 12,415.22 and 5,307.56

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Solution

The fourth proportional to 8,278.02, 12,415.22 and 5,307.56 is: 7,960.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,278.02 : 12,415.22 = 5,307.56 : x
  2. Step 2: Convert to fraction form
    8,278.02/12,415.22 = 5,307.56/x
  3. Step 3: Cross multiply
    8,278.02x = 12,415.22 × 5,307.56
  4. Step 4: Simplify right side
    8,278.02x = 65,894,525.06
  5. Step 5: Solve for x
    x = 65,894,525.06/8,278.02
  6. Step 6: Final answer
    x = 7,960.18

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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.