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Finding the Fourth Proportional to 11,337.53, 15,645.86 and 6,302.22

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Solution

The fourth proportional to 11,337.53, 15,645.86 and 6,302.22 is: 8,697.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,337.53 : 15,645.86 = 6,302.22 : x
  2. Step 2: Convert to fraction form
    11,337.53/15,645.86 = 6,302.22/x
  3. Step 3: Cross multiply
    11,337.53x = 15,645.86 × 6,302.22
  4. Step 4: Simplify right side
    11,337.53x = 98,603,620.30
  5. Step 5: Solve for x
    x = 98,603,620.30/11,337.53
  6. Step 6: Final answer
    x = 8,697.10

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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.