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Finding the Fourth Proportional to 10,365.63, 14,304.62 and 5,889.63

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Solution

The fourth proportional to 10,365.63, 14,304.62 and 5,889.63 is: 8,127.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,365.63 : 14,304.62 = 5,889.63 : x
  2. Step 2: Convert to fraction form
    10,365.63/14,304.62 = 5,889.63/x
  3. Step 3: Cross multiply
    10,365.63x = 14,304.62 × 5,889.63
  4. Step 4: Simplify right side
    10,365.63x = 84,248,889.64
  5. Step 5: Solve for x
    x = 84,248,889.64/10,365.63
  6. Step 6: Final answer
    x = 8,127.72

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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.