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Finding the Fourth Proportional to 11,985.38, 16,541.95 and 7,741.70

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Solution

The fourth proportional to 11,985.38, 16,541.95 and 7,741.70 is: 10,684.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,985.38 : 16,541.95 = 7,741.70 : x
  2. Step 2: Convert to fraction form
    11,985.38/16,541.95 = 7,741.70/x
  3. Step 3: Cross multiply
    11,985.38x = 16,541.95 × 7,741.70
  4. Step 4: Simplify right side
    11,985.38x = 128,062,814.32
  5. Step 5: Solve for x
    x = 128,062,814.32/11,985.38
  6. Step 6: Final answer
    x = 10,684.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.