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Finding the Fourth Proportional to 7,938.82, 10,955.47 and 4,402.10

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Solution

The fourth proportional to 7,938.82, 10,955.47 and 4,402.10 is: 6,074.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,938.82 : 10,955.47 = 4,402.10 : x
  2. Step 2: Convert to fraction form
    7,938.82/10,955.47 = 4,402.10/x
  3. Step 3: Cross multiply
    7,938.82x = 10,955.47 × 4,402.10
  4. Step 4: Simplify right side
    7,938.82x = 48,227,074.49
  5. Step 5: Solve for x
    x = 48,227,074.49/7,938.82
  6. Step 6: Final answer
    x = 6,074.84

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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.