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Finding the Fourth Proportional to 11,130.38, 15,359.96 and 6,094.64

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Solution

The fourth proportional to 11,130.38, 15,359.96 and 6,094.64 is: 8,410.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,130.38 : 15,359.96 = 6,094.64 : x
  2. Step 2: Convert to fraction form
    11,130.38/15,359.96 = 6,094.64/x
  3. Step 3: Cross multiply
    11,130.38x = 15,359.96 × 6,094.64
  4. Step 4: Simplify right side
    11,130.38x = 93,613,426.61
  5. Step 5: Solve for x
    x = 93,613,426.61/11,130.38
  6. Step 6: Final answer
    x = 8,410.62

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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.