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Finding the Fourth Proportional to 10,577.40, 14,593.68 and 6,596.04

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Solution

The fourth proportional to 10,577.40, 14,593.68 and 6,596.04 is: 9,100.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,577.40 : 14,593.68 = 6,596.04 : x
  2. Step 2: Convert to fraction form
    10,577.40/14,593.68 = 6,596.04/x
  3. Step 3: Cross multiply
    10,577.40x = 14,593.68 × 6,596.04
  4. Step 4: Simplify right side
    10,577.40x = 96,260,497.03
  5. Step 5: Solve for x
    x = 96,260,497.03/10,577.40
  6. Step 6: Final answer
    x = 9,100.58

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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.