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Finding the Fourth Proportional to 11,752.32, 16,218.12 and 6,447.36

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Solution

The fourth proportional to 11,752.32, 16,218.12 and 6,447.36 is: 8,897.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,752.32 : 16,218.12 = 6,447.36 : x
  2. Step 2: Convert to fraction form
    11,752.32/16,218.12 = 6,447.36/x
  3. Step 3: Cross multiply
    11,752.32x = 16,218.12 × 6,447.36
  4. Step 4: Simplify right side
    11,752.32x = 104,564,058.16
  5. Step 5: Solve for x
    x = 104,564,058.16/11,752.32
  6. Step 6: Final answer
    x = 8,897.31

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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.