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Finding the Fourth Proportional to 12,612.40, 17,412.11 and 7,577.86

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Solution

The fourth proportional to 12,612.40, 17,412.11 and 7,577.86 is: 10,461.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,612.40 : 17,412.11 = 7,577.86 : x
  2. Step 2: Convert to fraction form
    12,612.40/17,412.11 = 7,577.86/x
  3. Step 3: Cross multiply
    12,612.40x = 17,412.11 × 7,577.86
  4. Step 4: Simplify right side
    12,612.40x = 131,946,511.53
  5. Step 5: Solve for x
    x = 131,946,511.53/12,612.40
  6. Step 6: Final answer
    x = 10,461.65

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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.