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Finding the Fourth Proportional to 10,298.80, 14,208.78 and 6,108.40

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Solution

The fourth proportional to 10,298.80, 14,208.78 and 6,108.40 is: 8,427.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,298.80 : 14,208.78 = 6,108.40 : x
  2. Step 2: Convert to fraction form
    10,298.80/14,208.78 = 6,108.40/x
  3. Step 3: Cross multiply
    10,298.80x = 14,208.78 × 6,108.40
  4. Step 4: Simplify right side
    10,298.80x = 86,792,911.75
  5. Step 5: Solve for x
    x = 86,792,911.75/10,298.80
  6. Step 6: Final answer
    x = 8,427.48

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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.