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Finding the Fourth Proportional to 7,602.40, 11,388.72 and 6,776.80

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Solution

The fourth proportional to 7,602.40, 11,388.72 and 6,776.80 is: 10,151.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,602.40 : 11,388.72 = 6,776.80 : x
  2. Step 2: Convert to fraction form
    7,602.40/11,388.72 = 6,776.80/x
  3. Step 3: Cross multiply
    7,602.40x = 11,388.72 × 6,776.80
  4. Step 4: Simplify right side
    7,602.40x = 77,179,077.70
  5. Step 5: Solve for x
    x = 77,179,077.70/7,602.40
  6. Step 6: Final answer
    x = 10,151.94

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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.