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Finding the Fourth Proportional to 7,898.47, 11,851.16 and 3,741.45

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Solution

The fourth proportional to 7,898.47, 11,851.16 and 3,741.45 is: 5,613.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,898.47 : 11,851.16 = 3,741.45 : x
  2. Step 2: Convert to fraction form
    7,898.47/11,851.16 = 3,741.45/x
  3. Step 3: Cross multiply
    7,898.47x = 11,851.16 × 3,741.45
  4. Step 4: Simplify right side
    7,898.47x = 44,340,502.31
  5. Step 5: Solve for x
    x = 44,340,502.31/7,898.47
  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.