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Finding the Fourth Proportional to 10,613.01, 14,635.71 and 7,026.33

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Solution

The fourth proportional to 10,613.01, 14,635.71 and 7,026.33 is: 9,689.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,613.01 : 14,635.71 = 7,026.33 : x
  2. Step 2: Convert to fraction form
    10,613.01/14,635.71 = 7,026.33/x
  3. Step 3: Cross multiply
    10,613.01x = 14,635.71 × 7,026.33
  4. Step 4: Simplify right side
    10,613.01x = 102,835,328.24
  5. Step 5: Solve for x
    x = 102,835,328.24/10,613.01
  6. Step 6: Final answer
    x = 9,689.55

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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.