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Finding the Fourth Proportional to 10,643.04, 14,689.62 and 6,394.29

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Solution

The fourth proportional to 10,643.04, 14,689.62 and 6,394.29 is: 8,825.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,643.04 : 14,689.62 = 6,394.29 : x
  2. Step 2: Convert to fraction form
    10,643.04/14,689.62 = 6,394.29/x
  3. Step 3: Cross multiply
    10,643.04x = 14,689.62 × 6,394.29
  4. Step 4: Simplify right side
    10,643.04x = 93,929,690.27
  5. Step 5: Solve for x
    x = 93,929,690.27/10,643.04
  6. Step 6: Final answer
    x = 8,825.46

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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.