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Finding the Fourth Proportional to 7,802.85, 11,678.82 and 4,239.58

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Solution

The fourth proportional to 7,802.85, 11,678.82 and 4,239.58 is: 6,345.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.85 : 11,678.82 = 4,239.58 : x
  2. Step 2: Convert to fraction form
    7,802.85/11,678.82 = 4,239.58/x
  3. Step 3: Cross multiply
    7,802.85x = 11,678.82 × 4,239.58
  4. Step 4: Simplify right side
    7,802.85x = 49,513,291.70
  5. Step 5: Solve for x
    x = 49,513,291.70/7,802.85
  6. Step 6: Final answer
    x = 6,345.54

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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.