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Finding the Fourth Proportional to 10,643.69, 14,688.32 and 6,168.31

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Solution

The fourth proportional to 10,643.69, 14,688.32 and 6,168.31 is: 8,512.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,643.69 : 14,688.32 = 6,168.31 : x
  2. Step 2: Convert to fraction form
    10,643.69/14,688.32 = 6,168.31/x
  3. Step 3: Cross multiply
    10,643.69x = 14,688.32 × 6,168.31
  4. Step 4: Simplify right side
    10,643.69x = 90,602,043.58
  5. Step 5: Solve for x
    x = 90,602,043.58/10,643.69
  6. Step 6: Final answer
    x = 8,512.28

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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.