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Finding the Fourth Proportional to 11,748, 16,210.75 and 6,441.42

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Solution

The fourth proportional to 11,748, 16,210.75 and 6,441.42 is: 8,888.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,748 : 16,210.75 = 6,441.42 : x
  2. Step 2: Convert to fraction form
    11,748/16,210.75 = 6,441.42/x
  3. Step 3: Cross multiply
    11,748x = 16,210.75 × 6,441.42
  4. Step 4: Simplify right side
    11,748x = 104,420,249.27
  5. Step 5: Solve for x
    x = 104,420,249.27/11,748
  6. Step 6: Final answer
    x = 8,888.34

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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.