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Finding the Fourth Proportional to 10,512.52, 14,506.74 and 6,533.55

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Solution

The fourth proportional to 10,512.52, 14,506.74 and 6,533.55 is: 9,015.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,512.52 : 14,506.74 = 6,533.55 : x
  2. Step 2: Convert to fraction form
    10,512.52/14,506.74 = 6,533.55/x
  3. Step 3: Cross multiply
    10,512.52x = 14,506.74 × 6,533.55
  4. Step 4: Simplify right side
    10,512.52x = 94,780,511.13
  5. Step 5: Solve for x
    x = 94,780,511.13/10,512.52
  6. Step 6: Final answer
    x = 9,015.97

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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.