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Finding the Fourth Proportional to 10,219.16, 14,102.43 and 5,973.14

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Solution

The fourth proportional to 10,219.16, 14,102.43 and 5,973.14 is: 8,242.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,219.16 : 14,102.43 = 5,973.14 : x
  2. Step 2: Convert to fraction form
    10,219.16/14,102.43 = 5,973.14/x
  3. Step 3: Cross multiply
    10,219.16x = 14,102.43 × 5,973.14
  4. Step 4: Simplify right side
    10,219.16x = 84,235,788.73
  5. Step 5: Solve for x
    x = 84,235,788.73/10,219.16
  6. Step 6: Final answer
    x = 8,242.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.