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Finding the Fourth Proportional to 10,283.82, 14,191.93 and 6,307.12

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Solution

The fourth proportional to 10,283.82, 14,191.93 and 6,307.12 is: 8,703.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,283.82 : 14,191.93 = 6,307.12 : x
  2. Step 2: Convert to fraction form
    10,283.82/14,191.93 = 6,307.12/x
  3. Step 3: Cross multiply
    10,283.82x = 14,191.93 × 6,307.12
  4. Step 4: Simplify right side
    10,283.82x = 89,510,195.69
  5. Step 5: Solve for x
    x = 89,510,195.69/10,283.82
  6. Step 6: Final answer
    x = 8,703.99

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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.