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Finding the Fourth Proportional to 10,046.61, 15,071.27 and 4,201.84

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Solution

The fourth proportional to 10,046.61, 15,071.27 and 4,201.84 is: 6,303.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,046.61 : 15,071.27 = 4,201.84 : x
  2. Step 2: Convert to fraction form
    10,046.61/15,071.27 = 4,201.84/x
  3. Step 3: Cross multiply
    10,046.61x = 15,071.27 × 4,201.84
  4. Step 4: Simplify right side
    10,046.61x = 63,327,065.14
  5. Step 5: Solve for x
    x = 63,327,065.14/10,046.61
  6. Step 6: Final answer
    x = 6,303.33

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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.