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Finding the Fourth Proportional to 10,208.96, 15,312.20 and 2,814.16

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Solution

The fourth proportional to 10,208.96, 15,312.20 and 2,814.16 is: 4,220.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,208.96 : 15,312.20 = 2,814.16 : x
  2. Step 2: Convert to fraction form
    10,208.96/15,312.20 = 2,814.16/x
  3. Step 3: Cross multiply
    10,208.96x = 15,312.20 × 2,814.16
  4. Step 4: Simplify right side
    10,208.96x = 43,090,980.75
  5. Step 5: Solve for x
    x = 43,090,980.75/10,208.96
  6. Step 6: Final answer
    x = 4,220.90

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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.