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Finding the Fourth Proportional to 10,057.84, 15,088.18 and 4,213.12

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Solution

The fourth proportional to 10,057.84, 15,088.18 and 4,213.12 is: 6,320.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,057.84 : 15,088.18 = 4,213.12 : x
  2. Step 2: Convert to fraction form
    10,057.84/15,088.18 = 4,213.12/x
  3. Step 3: Cross multiply
    10,057.84x = 15,088.18 × 4,213.12
  4. Step 4: Simplify right side
    10,057.84x = 63,568,312.92
  5. Step 5: Solve for x
    x = 63,568,312.92/10,057.84
  6. Step 6: Final answer
    x = 6,320.27

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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.