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Finding the Fourth Proportional to 11,344.29, 15,656.50 and 6,867.93

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Solution

The fourth proportional to 11,344.29, 15,656.50 and 6,867.93 is: 9,478.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,344.29 : 15,656.50 = 6,867.93 : x
  2. Step 2: Convert to fraction form
    11,344.29/15,656.50 = 6,867.93/x
  3. Step 3: Cross multiply
    11,344.29x = 15,656.50 × 6,867.93
  4. Step 4: Simplify right side
    11,344.29x = 107,527,746.05
  5. Step 5: Solve for x
    x = 107,527,746.05/11,344.29
  6. Step 6: Final answer
    x = 9,478.58

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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.