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Finding the Fourth Proportional to 7,813.14, 11,702.04 and 6,045.72

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Solution

The fourth proportional to 7,813.14, 11,702.04 and 6,045.72 is: 9,054.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813.14 : 11,702.04 = 6,045.72 : x
  2. Step 2: Convert to fraction form
    7,813.14/11,702.04 = 6,045.72/x
  3. Step 3: Cross multiply
    7,813.14x = 11,702.04 × 6,045.72
  4. Step 4: Simplify right side
    7,813.14x = 70,747,257.27
  5. Step 5: Solve for x
    x = 70,747,257.27/7,813.14
  6. Step 6: Final answer
    x = 9,054.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.