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Finding the Fourth Proportional to 11,702.07, 16,148.82 and 6,396.89

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Solution

The fourth proportional to 11,702.07, 16,148.82 and 6,396.89 is: 8,827.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,702.07 : 16,148.82 = 6,396.89 : x
  2. Step 2: Convert to fraction form
    11,702.07/16,148.82 = 6,396.89/x
  3. Step 3: Cross multiply
    11,702.07x = 16,148.82 × 6,396.89
  4. Step 4: Simplify right side
    11,702.07x = 103,302,225.17
  5. Step 5: Solve for x
    x = 103,302,225.17/11,702.07
  6. Step 6: Final answer
    x = 8,827.69

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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.