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Finding the Fourth Proportional to 10,307.52, 14,219.16 and 6,524.34

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Solution

The fourth proportional to 10,307.52, 14,219.16 and 6,524.34 is: 9,000.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,307.52 : 14,219.16 = 6,524.34 : x
  2. Step 2: Convert to fraction form
    10,307.52/14,219.16 = 6,524.34/x
  3. Step 3: Cross multiply
    10,307.52x = 14,219.16 × 6,524.34
  4. Step 4: Simplify right side
    10,307.52x = 92,770,634.35
  5. Step 5: Solve for x
    x = 92,770,634.35/10,307.52
  6. Step 6: Final answer
    x = 9,000.29

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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.