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Finding the Fourth Proportional to 10,401.55, 14,354.07 and 5,685.86

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Solution

The fourth proportional to 10,401.55, 14,354.07 and 5,685.86 is: 7,846.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,401.55 : 14,354.07 = 5,685.86 : x
  2. Step 2: Convert to fraction form
    10,401.55/14,354.07 = 5,685.86/x
  3. Step 3: Cross multiply
    10,401.55x = 14,354.07 × 5,685.86
  4. Step 4: Simplify right side
    10,401.55x = 81,615,232.45
  5. Step 5: Solve for x
    x = 81,615,232.45/10,401.55
  6. Step 6: Final answer
    x = 7,846.45

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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.