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Finding the Fourth Proportional to 10,057.48, 15,083.02 and 4,213

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Solution

The fourth proportional to 10,057.48, 15,083.02 and 4,213 is: 6,318.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,057.48 : 15,083.02 = 4,213 : x
  2. Step 2: Convert to fraction form
    10,057.48/15,083.02 = 4,213/x
  3. Step 3: Cross multiply
    10,057.48x = 15,083.02 × 4,213
  4. Step 4: Simplify right side
    10,057.48x = 63,544,763.26
  5. Step 5: Solve for x
    x = 63,544,763.26/10,057.48
  6. Step 6: Final answer
    x = 6,318.16

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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.