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Finding the Fourth Proportional to 7,799.76, 11,639.28 and 6,969

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Solution

The fourth proportional to 7,799.76, 11,639.28 and 6,969 is: 10,399.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,799.76 : 11,639.28 = 6,969 : x
  2. Step 2: Convert to fraction form
    7,799.76/11,639.28 = 6,969/x
  3. Step 3: Cross multiply
    7,799.76x = 11,639.28 × 6,969
  4. Step 4: Simplify right side
    7,799.76x = 81,114,142.32
  5. Step 5: Solve for x
    x = 81,114,142.32/7,799.76
  6. Step 6: Final answer
    x = 10,399.57

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.