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Finding the Fourth Proportional to 10,334.16, 15,502.05 and 6,202.35

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Solution

The fourth proportional to 10,334.16, 15,502.05 and 6,202.35 is: 9,304.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,334.16 : 15,502.05 = 6,202.35 : x
  2. Step 2: Convert to fraction form
    10,334.16/15,502.05 = 6,202.35/x
  3. Step 3: Cross multiply
    10,334.16x = 15,502.05 × 6,202.35
  4. Step 4: Simplify right side
    10,334.16x = 96,149,139.82
  5. Step 5: Solve for x
    x = 96,149,139.82/10,334.16
  6. Step 6: Final answer
    x = 9,304.01

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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.