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Finding the Fourth Proportional to 10,278.67, 15,422.07 and 4,356.84

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Solution

The fourth proportional to 10,278.67, 15,422.07 and 4,356.84 is: 6,536.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,278.67 : 15,422.07 = 4,356.84 : x
  2. Step 2: Convert to fraction form
    10,278.67/15,422.07 = 4,356.84/x
  3. Step 3: Cross multiply
    10,278.67x = 15,422.07 × 4,356.84
  4. Step 4: Simplify right side
    10,278.67x = 67,191,466.63
  5. Step 5: Solve for x
    x = 67,191,466.63/10,278.67
  6. Step 6: Final answer
    x = 6,536.98

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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.