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Finding the Fourth Proportional to 10,401.87, 15,602.77 and 4,852.14

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Solution

The fourth proportional to 10,401.87, 15,602.77 and 4,852.14 is: 7,278.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,401.87 : 15,602.77 = 4,852.14 : x
  2. Step 2: Convert to fraction form
    10,401.87/15,602.77 = 4,852.14/x
  3. Step 3: Cross multiply
    10,401.87x = 15,602.77 × 4,852.14
  4. Step 4: Simplify right side
    10,401.87x = 75,706,824.43
  5. Step 5: Solve for x
    x = 75,706,824.43/10,401.87
  6. Step 6: Final answer
    x = 7,278.19

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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.