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Finding the Fourth Proportional to 10,381.90, 15,536.40 and 7,101.40

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Solution

The fourth proportional to 10,381.90, 15,536.40 and 7,101.40 is: 10,627.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,381.90 : 15,536.40 = 7,101.40 : x
  2. Step 2: Convert to fraction form
    10,381.90/15,536.40 = 7,101.40/x
  3. Step 3: Cross multiply
    10,381.90x = 15,536.40 × 7,101.40
  4. Step 4: Simplify right side
    10,381.90x = 110,330,190.96
  5. Step 5: Solve for x
    x = 110,330,190.96/10,381.90
  6. Step 6: Final answer
    x = 10,627.17

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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.