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Finding the Fourth Proportional to 8,396.50, 11,587.53 and 4,670.50

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Solution

The fourth proportional to 8,396.50, 11,587.53 and 4,670.50 is: 6,445.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,396.50 : 11,587.53 = 4,670.50 : x
  2. Step 2: Convert to fraction form
    8,396.50/11,587.53 = 4,670.50/x
  3. Step 3: Cross multiply
    8,396.50x = 11,587.53 × 4,670.50
  4. Step 4: Simplify right side
    8,396.50x = 54,119,558.87
  5. Step 5: Solve for x
    x = 54,119,558.87/8,396.50
  6. Step 6: Final answer
    x = 6,445.49

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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.