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Finding the Fourth Proportional to 7,802.72, 11,702.33 and 2,254.83

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Solution

The fourth proportional to 7,802.72, 11,702.33 and 2,254.83 is: 3,381.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.72 : 11,702.33 = 2,254.83 : x
  2. Step 2: Convert to fraction form
    7,802.72/11,702.33 = 2,254.83/x
  3. Step 3: Cross multiply
    7,802.72x = 11,702.33 × 2,254.83
  4. Step 4: Simplify right side
    7,802.72x = 26,386,764.75
  5. Step 5: Solve for x
    x = 26,386,764.75/7,802.72
  6. Step 6: Final answer
    x = 3,381.74

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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.