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Finding the Fourth Proportional to 8,395.83, 11,583.54 and 5,406.39

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Solution

The fourth proportional to 8,395.83, 11,583.54 and 5,406.39 is: 7,459.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,395.83 : 11,583.54 = 5,406.39 : x
  2. Step 2: Convert to fraction form
    8,395.83/11,583.54 = 5,406.39/x
  3. Step 3: Cross multiply
    8,395.83x = 11,583.54 × 5,406.39
  4. Step 4: Simplify right side
    8,395.83x = 62,625,134.82
  5. Step 5: Solve for x
    x = 62,625,134.82/8,395.83
  6. Step 6: Final answer
    x = 7,459.08

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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.