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Finding the Fourth Proportional to 11,378.22, 15,701.90 and 7,606.86

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Solution

The fourth proportional to 11,378.22, 15,701.90 and 7,606.86 is: 10,497.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,378.22 : 15,701.90 = 7,606.86 : x
  2. Step 2: Convert to fraction form
    11,378.22/15,701.90 = 7,606.86/x
  3. Step 3: Cross multiply
    11,378.22x = 15,701.90 × 7,606.86
  4. Step 4: Simplify right side
    11,378.22x = 119,442,117.00
  5. Step 5: Solve for x
    x = 119,442,117.00/11,378.22
  6. Step 6: Final answer
    x = 10,497.43

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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.