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Finding the Fourth Proportional to 10,206.93, 14,085.56 and 5,731.11

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Solution

The fourth proportional to 10,206.93, 14,085.56 and 5,731.11 is: 7,908.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,206.93 : 14,085.56 = 5,731.11 : x
  2. Step 2: Convert to fraction form
    10,206.93/14,085.56 = 5,731.11/x
  3. Step 3: Cross multiply
    10,206.93x = 14,085.56 × 5,731.11
  4. Step 4: Simplify right side
    10,206.93x = 80,725,837.67
  5. Step 5: Solve for x
    x = 80,725,837.67/10,206.93
  6. Step 6: Final answer
    x = 7,908.93

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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.