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Finding the Fourth Proportional to 8,498.17, 11,730.63 and 7,298.34

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Solution

The fourth proportional to 8,498.17, 11,730.63 and 7,298.34 is: 10,074.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,498.17 : 11,730.63 = 7,298.34 : x
  2. Step 2: Convert to fraction form
    8,498.17/11,730.63 = 7,298.34/x
  3. Step 3: Cross multiply
    8,498.17x = 11,730.63 × 7,298.34
  4. Step 4: Simplify right side
    8,498.17x = 85,614,126.15
  5. Step 5: Solve for x
    x = 85,614,126.15/8,498.17
  6. Step 6: Final answer
    x = 10,074.42

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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.