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Finding the Fourth Proportional to 8,228.66, 11,345.67 and 5,712.93

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Solution

The fourth proportional to 8,228.66, 11,345.67 and 5,712.93 is: 7,876.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,228.66 : 11,345.67 = 5,712.93 : x
  2. Step 2: Convert to fraction form
    8,228.66/11,345.67 = 5,712.93/x
  3. Step 3: Cross multiply
    8,228.66x = 11,345.67 × 5,712.93
  4. Step 4: Simplify right side
    8,228.66x = 64,817,018.51
  5. Step 5: Solve for x
    x = 64,817,018.51/8,228.66
  6. Step 6: Final answer
    x = 7,876.99

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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.