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Finding the Fourth Proportional to 8,354.18, 12,502.02 and 6,157.46

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Solution

The fourth proportional to 8,354.18, 12,502.02 and 6,157.46 is: 9,214.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,354.18 : 12,502.02 = 6,157.46 : x
  2. Step 2: Convert to fraction form
    8,354.18/12,502.02 = 6,157.46/x
  3. Step 3: Cross multiply
    8,354.18x = 12,502.02 × 6,157.46
  4. Step 4: Simplify right side
    8,354.18x = 76,980,688.07
  5. Step 5: Solve for x
    x = 76,980,688.07/8,354.18
  6. Step 6: Final answer
    x = 9,214.63

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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.