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Finding the Fourth Proportional to 8,598.30, 11,864.83 and 4,821.62

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Solution

The fourth proportional to 8,598.30, 11,864.83 and 4,821.62 is: 6,653.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,598.30 : 11,864.83 = 4,821.62 : x
  2. Step 2: Convert to fraction form
    8,598.30/11,864.83 = 4,821.62/x
  3. Step 3: Cross multiply
    8,598.30x = 11,864.83 × 4,821.62
  4. Step 4: Simplify right side
    8,598.30x = 57,207,719.23
  5. Step 5: Solve for x
    x = 57,207,719.23/8,598.30
  6. Step 6: Final answer
    x = 6,653.38

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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.