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Finding the Fourth Proportional to 10,461.39, 15,628.87 and 6,733.23

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Solution

The fourth proportional to 10,461.39, 15,628.87 and 6,733.23 is: 10,059.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,461.39 : 15,628.87 = 6,733.23 : x
  2. Step 2: Convert to fraction form
    10,461.39/15,628.87 = 6,733.23/x
  3. Step 3: Cross multiply
    10,461.39x = 15,628.87 × 6,733.23
  4. Step 4: Simplify right side
    10,461.39x = 105,232,759.52
  5. Step 5: Solve for x
    x = 105,232,759.52/10,461.39
  6. Step 6: Final answer
    x = 10,059.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.