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Finding the Fourth Proportional to 8,670.42, 13,009.95 and 3,741.30

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Solution

The fourth proportional to 8,670.42, 13,009.95 and 3,741.30 is: 5,613.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,670.42 : 13,009.95 = 3,741.30 : x
  2. Step 2: Convert to fraction form
    8,670.42/13,009.95 = 3,741.30/x
  3. Step 3: Cross multiply
    8,670.42x = 13,009.95 × 3,741.30
  4. Step 4: Simplify right side
    8,670.42x = 48,674,125.94
  5. Step 5: Solve for x
    x = 48,674,125.94/8,670.42
  6. Step 6: Final answer
    x = 5,613.81

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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.