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Finding the Fourth Proportional to 8,358, 12,537 and 2,514.62

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Solution

The fourth proportional to 8,358, 12,537 and 2,514.62 is: 3,771.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,358 : 12,537 = 2,514.62 : x
  2. Step 2: Convert to fraction form
    8,358/12,537 = 2,514.62/x
  3. Step 3: Cross multiply
    8,358x = 12,537 × 2,514.62
  4. Step 4: Simplify right side
    8,358x = 31,525,728.26
  5. Step 5: Solve for x
    x = 31,525,728.26/8,358
  6. Step 6: Final answer
    x = 3,771.92

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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.