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Finding the Fourth Proportional to 11,307.86, 15,603.32 and 6,271.82

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Solution

The fourth proportional to 11,307.86, 15,603.32 and 6,271.82 is: 8,654.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,307.86 : 15,603.32 = 6,271.82 : x
  2. Step 2: Convert to fraction form
    11,307.86/15,603.32 = 6,271.82/x
  3. Step 3: Cross multiply
    11,307.86x = 15,603.32 × 6,271.82
  4. Step 4: Simplify right side
    11,307.86x = 97,861,214.44
  5. Step 5: Solve for x
    x = 97,861,214.44/11,307.86
  6. Step 6: Final answer
    x = 8,654.26

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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.