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Finding the Fourth Proportional to 10,842.61, 16,263.91 and 3,051.42

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Solution

The fourth proportional to 10,842.61, 16,263.91 and 3,051.42 is: 4,577.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842.61 : 16,263.91 = 3,051.42 : x
  2. Step 2: Convert to fraction form
    10,842.61/16,263.91 = 3,051.42/x
  3. Step 3: Cross multiply
    10,842.61x = 16,263.91 × 3,051.42
  4. Step 4: Simplify right side
    10,842.61x = 49,628,063.14
  5. Step 5: Solve for x
    x = 49,628,063.14/10,842.61
  6. Step 6: Final answer
    x = 4,577.13

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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.