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Finding the Fourth Proportional to 11,116.15, 16,655.71 and 7,822.32

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Solution

The fourth proportional to 11,116.15, 16,655.71 and 7,822.32 is: 11,720.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,116.15 : 16,655.71 = 7,822.32 : x
  2. Step 2: Convert to fraction form
    11,116.15/16,655.71 = 7,822.32/x
  3. Step 3: Cross multiply
    11,116.15x = 16,655.71 × 7,822.32
  4. Step 4: Simplify right side
    11,116.15x = 130,286,293.45
  5. Step 5: Solve for x
    x = 130,286,293.45/11,116.15
  6. Step 6: Final answer
    x = 11,720.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.