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Finding the Fourth Proportional to 10,277.80, 15,392.40 and 6,341.20

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Solution

The fourth proportional to 10,277.80, 15,392.40 and 6,341.20 is: 9,496.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,277.80 : 15,392.40 = 6,341.20 : x
  2. Step 2: Convert to fraction form
    10,277.80/15,392.40 = 6,341.20/x
  3. Step 3: Cross multiply
    10,277.80x = 15,392.40 × 6,341.20
  4. Step 4: Simplify right side
    10,277.80x = 97,606,286.88
  5. Step 5: Solve for x
    x = 97,606,286.88/10,277.80
  6. Step 6: Final answer
    x = 9,496.81

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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.