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Finding the Fourth Proportional to 10,048.98, 15,071.42 and 3,806.84

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Solution

The fourth proportional to 10,048.98, 15,071.42 and 3,806.84 is: 5,709.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,048.98 : 15,071.42 = 3,806.84 : x
  2. Step 2: Convert to fraction form
    10,048.98/15,071.42 = 3,806.84/x
  3. Step 3: Cross multiply
    10,048.98x = 15,071.42 × 3,806.84
  4. Step 4: Simplify right side
    10,048.98x = 57,374,484.51
  5. Step 5: Solve for x
    x = 57,374,484.51/10,048.98
  6. Step 6: Final answer
    x = 5,709.48

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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.