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Finding the Fourth Proportional to 10,440.77, 15,662.84 and 3,418.74

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Solution

The fourth proportional to 10,440.77, 15,662.84 and 3,418.74 is: 5,128.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,440.77 : 15,662.84 = 3,418.74 : x
  2. Step 2: Convert to fraction form
    10,440.77/15,662.84 = 3,418.74/x
  3. Step 3: Cross multiply
    10,440.77x = 15,662.84 × 3,418.74
  4. Step 4: Simplify right side
    10,440.77x = 53,547,160.53
  5. Step 5: Solve for x
    x = 53,547,160.53/10,440.77
  6. Step 6: Final answer
    x = 5,128.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.