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Finding the Fourth Proportional to 7,678.72, 10,596.44 and 5,026.07

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Solution

The fourth proportional to 7,678.72, 10,596.44 and 5,026.07 is: 6,935.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678.72 : 10,596.44 = 5,026.07 : x
  2. Step 2: Convert to fraction form
    7,678.72/10,596.44 = 5,026.07/x
  3. Step 3: Cross multiply
    7,678.72x = 10,596.44 × 5,026.07
  4. Step 4: Simplify right side
    7,678.72x = 53,258,400.37
  5. Step 5: Solve for x
    x = 53,258,400.37/7,678.72
  6. Step 6: Final answer
    x = 6,935.85

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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.