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Finding the Fourth Proportional to 12,763.68, 17,613.90 and 7,457.52

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Solution

The fourth proportional to 12,763.68, 17,613.90 and 7,457.52 is: 10,291.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,763.68 : 17,613.90 = 7,457.52 : x
  2. Step 2: Convert to fraction form
    12,763.68/17,613.90 = 7,457.52/x
  3. Step 3: Cross multiply
    12,763.68x = 17,613.90 × 7,457.52
  4. Step 4: Simplify right side
    12,763.68x = 131,356,011.53
  5. Step 5: Solve for x
    x = 131,356,011.53/12,763.68
  6. Step 6: Final answer
    x = 10,291.39

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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.