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Finding the Fourth Proportional to 8,298.36, 11,448 and 5,464.98

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Solution

The fourth proportional to 8,298.36, 11,448 and 5,464.98 is: 7,539.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,298.36 : 11,448 = 5,464.98 : x
  2. Step 2: Convert to fraction form
    8,298.36/11,448 = 5,464.98/x
  3. Step 3: Cross multiply
    8,298.36x = 11,448 × 5,464.98
  4. Step 4: Simplify right side
    8,298.36x = 62,563,091.04
  5. Step 5: Solve for x
    x = 62,563,091.04/8,298.36
  6. Step 6: Final answer
    x = 7,539.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.