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Finding the Fourth Proportional to 8,388.36, 11,569.23 and 7,444.80

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Solution

The fourth proportional to 8,388.36, 11,569.23 and 7,444.80 is: 10,267.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,388.36 : 11,569.23 = 7,444.80 : x
  2. Step 2: Convert to fraction form
    8,388.36/11,569.23 = 7,444.80/x
  3. Step 3: Cross multiply
    8,388.36x = 11,569.23 × 7,444.80
  4. Step 4: Simplify right side
    8,388.36x = 86,130,603.50
  5. Step 5: Solve for x
    x = 86,130,603.50/8,388.36
  6. Step 6: Final answer
    x = 10,267.87

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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.