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Finding the Fourth Proportional to 10,613.08, 14,645.37 and 6,634

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Solution

The fourth proportional to 10,613.08, 14,645.37 and 6,634 is: 9,154.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,613.08 : 14,645.37 = 6,634 : x
  2. Step 2: Convert to fraction form
    10,613.08/14,645.37 = 6,634/x
  3. Step 3: Cross multiply
    10,613.08x = 14,645.37 × 6,634
  4. Step 4: Simplify right side
    10,613.08x = 97,157,384.58
  5. Step 5: Solve for x
    x = 97,157,384.58/10,613.08
  6. Step 6: Final answer
    x = 9,154.49

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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.