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Finding the Fourth Proportional to 10,212.64, 15,319.80 and 4,369.30

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Solution

The fourth proportional to 10,212.64, 15,319.80 and 4,369.30 is: 6,554.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,212.64 : 15,319.80 = 4,369.30 : x
  2. Step 2: Convert to fraction form
    10,212.64/15,319.80 = 4,369.30/x
  3. Step 3: Cross multiply
    10,212.64x = 15,319.80 × 4,369.30
  4. Step 4: Simplify right side
    10,212.64x = 66,936,802.14
  5. Step 5: Solve for x
    x = 66,936,802.14/10,212.64
  6. Step 6: Final answer
    x = 6,554.31

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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.