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Finding the Fourth Proportional to 8,037.36, 11,088.24 and 4,892.40

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Solution

The fourth proportional to 8,037.36, 11,088.24 and 4,892.40 is: 6,749.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,037.36 : 11,088.24 = 4,892.40 : x
  2. Step 2: Convert to fraction form
    8,037.36/11,088.24 = 4,892.40/x
  3. Step 3: Cross multiply
    8,037.36x = 11,088.24 × 4,892.40
  4. Step 4: Simplify right side
    8,037.36x = 54,248,105.38
  5. Step 5: Solve for x
    x = 54,248,105.38/8,037.36
  6. Step 6: Final answer
    x = 6,749.49

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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.