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Finding the Fourth Proportional to 8,298.61, 11,451.14 and 4,762.96

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Solution

The fourth proportional to 8,298.61, 11,451.14 and 4,762.96 is: 6,572.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,298.61 : 11,451.14 = 4,762.96 : x
  2. Step 2: Convert to fraction form
    8,298.61/11,451.14 = 4,762.96/x
  3. Step 3: Cross multiply
    8,298.61x = 11,451.14 × 4,762.96
  4. Step 4: Simplify right side
    8,298.61x = 54,541,287.19
  5. Step 5: Solve for x
    x = 54,541,287.19/8,298.61
  6. Step 6: Final answer
    x = 6,572.34

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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.