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Finding the Fourth Proportional to 10,802.69, 14,907.71 and 5,834.69

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Solution

The fourth proportional to 10,802.69, 14,907.71 and 5,834.69 is: 8,051.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802.69 : 14,907.71 = 5,834.69 : x
  2. Step 2: Convert to fraction form
    10,802.69/14,907.71 = 5,834.69/x
  3. Step 3: Cross multiply
    10,802.69x = 14,907.71 × 5,834.69
  4. Step 4: Simplify right side
    10,802.69x = 86,981,866.46
  5. Step 5: Solve for x
    x = 86,981,866.46/10,802.69
  6. Step 6: Final answer
    x = 8,051.87

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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.