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Finding the Fourth Proportional to 10,307.84, 14,224.82 and 5,592.12

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Solution

The fourth proportional to 10,307.84, 14,224.82 and 5,592.12 is: 7,717.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,307.84 : 14,224.82 = 5,592.12 : x
  2. Step 2: Convert to fraction form
    10,307.84/14,224.82 = 5,592.12/x
  3. Step 3: Cross multiply
    10,307.84x = 14,224.82 × 5,592.12
  4. Step 4: Simplify right side
    10,307.84x = 79,546,914.40
  5. Step 5: Solve for x
    x = 79,546,914.40/10,307.84
  6. Step 6: Final answer
    x = 7,717.13

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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.