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Finding the Fourth Proportional to 10,278.24, 14,168.88 and 7,407.84

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Solution

The fourth proportional to 10,278.24, 14,168.88 and 7,407.84 is: 10,211.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,278.24 : 14,168.88 = 7,407.84 : x
  2. Step 2: Convert to fraction form
    10,278.24/14,168.88 = 7,407.84/x
  3. Step 3: Cross multiply
    10,278.24x = 14,168.88 × 7,407.84
  4. Step 4: Simplify right side
    10,278.24x = 104,960,796.02
  5. Step 5: Solve for x
    x = 104,960,796.02/10,278.24
  6. Step 6: Final answer
    x = 10,211.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.