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Finding the Fourth Proportional to 11,798.48, 17,700.81 and 4,403

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Solution

The fourth proportional to 11,798.48, 17,700.81 and 4,403 is: 6,605.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,798.48 : 17,700.81 = 4,403 : x
  2. Step 2: Convert to fraction form
    11,798.48/17,700.81 = 4,403/x
  3. Step 3: Cross multiply
    11,798.48x = 17,700.81 × 4,403
  4. Step 4: Simplify right side
    11,798.48x = 77,936,644.42
  5. Step 5: Solve for x
    x = 77,936,644.42/11,798.48
  6. Step 6: Final answer
    x = 6,605.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.