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Finding the Fourth Proportional to 11,616.32, 16,030.88 and 6,647.36

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Solution

The fourth proportional to 11,616.32, 16,030.88 and 6,647.36 is: 9,173.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616.32 : 16,030.88 = 6,647.36 : x
  2. Step 2: Convert to fraction form
    11,616.32/16,030.88 = 6,647.36/x
  3. Step 3: Cross multiply
    11,616.32x = 16,030.88 × 6,647.36
  4. Step 4: Simplify right side
    11,616.32x = 106,563,030.48
  5. Step 5: Solve for x
    x = 106,563,030.48/11,616.32
  6. Step 6: Final answer
    x = 9,173.56

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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.