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Finding the Fourth Proportional to 10,061.82, 13,884.63 and 6,085.12

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Solution

The fourth proportional to 10,061.82, 13,884.63 and 6,085.12 is: 8,397.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,061.82 : 13,884.63 = 6,085.12 : x
  2. Step 2: Convert to fraction form
    10,061.82/13,884.63 = 6,085.12/x
  3. Step 3: Cross multiply
    10,061.82x = 13,884.63 × 6,085.12
  4. Step 4: Simplify right side
    10,061.82x = 84,489,639.71
  5. Step 5: Solve for x
    x = 84,489,639.71/10,061.82
  6. Step 6: Final answer
    x = 8,397.05

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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.