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Finding the Fourth Proportional to 10,612.30, 14,640.99 and 6,577.29

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Solution

The fourth proportional to 10,612.30, 14,640.99 and 6,577.29 is: 9,074.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,612.30 : 14,640.99 = 6,577.29 : x
  2. Step 2: Convert to fraction form
    10,612.30/14,640.99 = 6,577.29/x
  3. Step 3: Cross multiply
    10,612.30x = 14,640.99 × 6,577.29
  4. Step 4: Simplify right side
    10,612.30x = 96,298,037.12
  5. Step 5: Solve for x
    x = 96,298,037.12/10,612.30
  6. Step 6: Final answer
    x = 9,074.19

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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.