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Finding the Fourth Proportional to 10,365.44, 14,304 and 5,889.60

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Solution

The fourth proportional to 10,365.44, 14,304 and 5,889.60 is: 8,127.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,365.44 : 14,304 = 5,889.60 : x
  2. Step 2: Convert to fraction form
    10,365.44/14,304 = 5,889.60/x
  3. Step 3: Cross multiply
    10,365.44x = 14,304 × 5,889.60
  4. Step 4: Simplify right side
    10,365.44x = 84,244,838.40
  5. Step 5: Solve for x
    x = 84,244,838.40/10,365.44
  6. Step 6: Final answer
    x = 8,127.47

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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.