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Finding the Fourth Proportional to 10,643.94, 14,688.63 and 6,170.29

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Solution

The fourth proportional to 10,643.94, 14,688.63 and 6,170.29 is: 8,514.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,643.94 : 14,688.63 = 6,170.29 : x
  2. Step 2: Convert to fraction form
    10,643.94/14,688.63 = 6,170.29/x
  3. Step 3: Cross multiply
    10,643.94x = 14,688.63 × 6,170.29
  4. Step 4: Simplify right side
    10,643.94x = 90,633,070.08
  5. Step 5: Solve for x
    x = 90,633,070.08/10,643.94
  6. Step 6: Final answer
    x = 8,514.99

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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.