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Finding the Fourth Proportional to 7,802.38, 11,706.49 and 4,051.81

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Solution

The fourth proportional to 7,802.38, 11,706.49 and 4,051.81 is: 6,079.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.38 : 11,706.49 = 4,051.81 : x
  2. Step 2: Convert to fraction form
    7,802.38/11,706.49 = 4,051.81/x
  3. Step 3: Cross multiply
    7,802.38x = 11,706.49 × 4,051.81
  4. Step 4: Simplify right side
    7,802.38x = 47,432,473.25
  5. Step 5: Solve for x
    x = 47,432,473.25/7,802.38
  6. Step 6: Final answer
    x = 6,079.23

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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.