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Finding the Fourth Proportional to 10,401.42, 15,602.40 and 3,823.32

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Solution

The fourth proportional to 10,401.42, 15,602.40 and 3,823.32 is: 5,735.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,401.42 : 15,602.40 = 3,823.32 : x
  2. Step 2: Convert to fraction form
    10,401.42/15,602.40 = 3,823.32/x
  3. Step 3: Cross multiply
    10,401.42x = 15,602.40 × 3,823.32
  4. Step 4: Simplify right side
    10,401.42x = 59,652,967.97
  5. Step 5: Solve for x
    x = 59,652,967.97/10,401.42
  6. Step 6: Final answer
    x = 5,735.08

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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.