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Finding the Fourth Proportional to 10,283.91, 14,192.06 and 6,307.22

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Solution

The fourth proportional to 10,283.91, 14,192.06 and 6,307.22 is: 8,704.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,283.91 : 14,192.06 = 6,307.22 : x
  2. Step 2: Convert to fraction form
    10,283.91/14,192.06 = 6,307.22/x
  3. Step 3: Cross multiply
    10,283.91x = 14,192.06 × 6,307.22
  4. Step 4: Simplify right side
    10,283.91x = 89,512,342.18
  5. Step 5: Solve for x
    x = 89,512,342.18/10,283.91
  6. Step 6: Final answer
    x = 8,704.12

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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.