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Finding the Fourth Proportional to 10,307.91, 14,224.82 and 5,592.09

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Solution

The fourth proportional to 10,307.91, 14,224.82 and 5,592.09 is: 7,717.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,307.91 : 14,224.82 = 5,592.09 : x
  2. Step 2: Convert to fraction form
    10,307.91/14,224.82 = 5,592.09/x
  3. Step 3: Cross multiply
    10,307.91x = 14,224.82 × 5,592.09
  4. Step 4: Simplify right side
    10,307.91x = 79,546,445.71
  5. Step 5: Solve for x
    x = 79,546,445.71/10,307.91
  6. Step 6: Final answer
    x = 7,717.03

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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.