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Finding the Fourth Proportional to 7,758.68, 10,712.34 and 7,262.96

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Solution

The fourth proportional to 7,758.68, 10,712.34 and 7,262.96 is: 10,027.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.68 : 10,712.34 = 7,262.96 : x
  2. Step 2: Convert to fraction form
    7,758.68/10,712.34 = 7,262.96/x
  3. Step 3: Cross multiply
    7,758.68x = 10,712.34 × 7,262.96
  4. Step 4: Simplify right side
    7,758.68x = 77,803,323.71
  5. Step 5: Solve for x
    x = 77,803,323.71/7,758.68
  6. Step 6: Final answer
    x = 10,027.90

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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.