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Finding the Fourth Proportional to 10,613.74, 14,598.27 and 8,513.26

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Solution

The fourth proportional to 10,613.74, 14,598.27 and 8,513.26 is: 11,709.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,613.74 : 14,598.27 = 8,513.26 : x
  2. Step 2: Convert to fraction form
    10,613.74/14,598.27 = 8,513.26/x
  3. Step 3: Cross multiply
    10,613.74x = 14,598.27 × 8,513.26
  4. Step 4: Simplify right side
    10,613.74x = 124,278,868.06
  5. Step 5: Solve for x
    x = 124,278,868.06/10,613.74
  6. Step 6: Final answer
    x = 11,709.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.