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Finding the Fourth Proportional to 11,433.69, 15,777.75 and 6,397.05

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Solution

The fourth proportional to 11,433.69, 15,777.75 and 6,397.05 is: 8,827.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,433.69 : 15,777.75 = 6,397.05 : x
  2. Step 2: Convert to fraction form
    11,433.69/15,777.75 = 6,397.05/x
  3. Step 3: Cross multiply
    11,433.69x = 15,777.75 × 6,397.05
  4. Step 4: Simplify right side
    11,433.69x = 100,931,055.64
  5. Step 5: Solve for x
    x = 100,931,055.64/11,433.69
  6. Step 6: Final answer
    x = 8,827.51

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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.