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Finding the Fourth Proportional to 10,296.47, 14,203.88 and 6,513.26

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Solution

The fourth proportional to 10,296.47, 14,203.88 and 6,513.26 is: 8,984.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,296.47 : 14,203.88 = 6,513.26 : x
  2. Step 2: Convert to fraction form
    10,296.47/14,203.88 = 6,513.26/x
  3. Step 3: Cross multiply
    10,296.47x = 14,203.88 × 6,513.26
  4. Step 4: Simplify right side
    10,296.47x = 92,513,459.86
  5. Step 5: Solve for x
    x = 92,513,459.86/10,296.47
  6. Step 6: Final answer
    x = 8,984.97

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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.