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Finding the Fourth Proportional to 11,355.22, 15,669.75 and 6,318.64

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Solution

The fourth proportional to 11,355.22, 15,669.75 and 6,318.64 is: 8,719.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,355.22 : 15,669.75 = 6,318.64 : x
  2. Step 2: Convert to fraction form
    11,355.22/15,669.75 = 6,318.64/x
  3. Step 3: Cross multiply
    11,355.22x = 15,669.75 × 6,318.64
  4. Step 4: Simplify right side
    11,355.22x = 99,011,509.14
  5. Step 5: Solve for x
    x = 99,011,509.14/11,355.22
  6. Step 6: Final answer
    x = 8,719.47

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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.