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Finding the Fourth Proportional to 11,428, 15,770.42 and 6,392.22

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Solution

The fourth proportional to 11,428, 15,770.42 and 6,392.22 is: 8,821.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,428 : 15,770.42 = 6,392.22 : x
  2. Step 2: Convert to fraction form
    11,428/15,770.42 = 6,392.22/x
  3. Step 3: Cross multiply
    11,428x = 15,770.42 × 6,392.22
  4. Step 4: Simplify right side
    11,428x = 100,807,994.13
  5. Step 5: Solve for x
    x = 100,807,994.13/11,428
  6. Step 6: Final answer
    x = 8,821.14

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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.