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Finding the Fourth Proportional to 10,652.26, 14,700.09 and 6,178.60

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Solution

The fourth proportional to 10,652.26, 14,700.09 and 6,178.60 is: 8,526.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,652.26 : 14,700.09 = 6,178.60 : x
  2. Step 2: Convert to fraction form
    10,652.26/14,700.09 = 6,178.60/x
  3. Step 3: Cross multiply
    10,652.26x = 14,700.09 × 6,178.60
  4. Step 4: Simplify right side
    10,652.26x = 90,825,976.07
  5. Step 5: Solve for x
    x = 90,825,976.07/10,652.26
  6. Step 6: Final answer
    x = 8,526.45

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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.