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Finding the Fourth Proportional to 11,344.77, 15,655.95 and 6,309.54

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Solution

The fourth proportional to 11,344.77, 15,655.95 and 6,309.54 is: 8,707.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,344.77 : 15,655.95 = 6,309.54 : x
  2. Step 2: Convert to fraction form
    11,344.77/15,655.95 = 6,309.54/x
  3. Step 3: Cross multiply
    11,344.77x = 15,655.95 × 6,309.54
  4. Step 4: Simplify right side
    11,344.77x = 98,781,842.76
  5. Step 5: Solve for x
    x = 98,781,842.76/11,344.77
  6. Step 6: Final answer
    x = 8,707.26

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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.