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Finding the Fourth Proportional to 10,356.98, 14,292.05 and 6,108.22

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Solution

The fourth proportional to 10,356.98, 14,292.05 and 6,108.22 is: 8,429.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356.98 : 14,292.05 = 6,108.22 : x
  2. Step 2: Convert to fraction form
    10,356.98/14,292.05 = 6,108.22/x
  3. Step 3: Cross multiply
    10,356.98x = 14,292.05 × 6,108.22
  4. Step 4: Simplify right side
    10,356.98x = 87,298,993.07
  5. Step 5: Solve for x
    x = 87,298,993.07/10,356.98
  6. Step 6: Final answer
    x = 8,429.00

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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.