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Finding the Fourth Proportional to 10,070.36, 15,101.93 and 3,828.71

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Solution

The fourth proportional to 10,070.36, 15,101.93 and 3,828.71 is: 5,741.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,070.36 : 15,101.93 = 3,828.71 : x
  2. Step 2: Convert to fraction form
    10,070.36/15,101.93 = 3,828.71/x
  3. Step 3: Cross multiply
    10,070.36x = 15,101.93 × 3,828.71
  4. Step 4: Simplify right side
    10,070.36x = 57,820,910.41
  5. Step 5: Solve for x
    x = 57,820,910.41/10,070.36
  6. Step 6: Final answer
    x = 5,741.69

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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.