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Finding the Fourth Proportional to 8,289.36, 11,431.80 and 5,490

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Solution

The fourth proportional to 8,289.36, 11,431.80 and 5,490 is: 7,571.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,289.36 : 11,431.80 = 5,490 : x
  2. Step 2: Convert to fraction form
    8,289.36/11,431.80 = 5,490/x
  3. Step 3: Cross multiply
    8,289.36x = 11,431.80 × 5,490
  4. Step 4: Simplify right side
    8,289.36x = 62,760,582.00
  5. Step 5: Solve for x
    x = 62,760,582.00/8,289.36
  6. Step 6: Final answer
    x = 7,571.22

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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.