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Finding the Fourth Proportional to 10,051.87, 13,869.36 and 5,802.03

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Solution

The fourth proportional to 10,051.87, 13,869.36 and 5,802.03 is: 8,005.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,051.87 : 13,869.36 = 5,802.03 : x
  2. Step 2: Convert to fraction form
    10,051.87/13,869.36 = 5,802.03/x
  3. Step 3: Cross multiply
    10,051.87x = 13,869.36 × 5,802.03
  4. Step 4: Simplify right side
    10,051.87x = 80,470,442.80
  5. Step 5: Solve for x
    x = 80,470,442.80/10,051.87
  6. Step 6: Final answer
    x = 8,005.52

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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.