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Finding the Fourth Proportional to 7,777.58, 10,807.62 and 7,697.66

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Solution

The fourth proportional to 7,777.58, 10,807.62 and 7,697.66 is: 10,696.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777.58 : 10,807.62 = 7,697.66 : x
  2. Step 2: Convert to fraction form
    7,777.58/10,807.62 = 7,697.66/x
  3. Step 3: Cross multiply
    7,777.58x = 10,807.62 × 7,697.66
  4. Step 4: Simplify right side
    7,777.58x = 83,193,384.17
  5. Step 5: Solve for x
    x = 83,193,384.17/7,777.58
  6. Step 6: Final answer
    x = 10,696.56

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.