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Finding the Fourth Proportional to 10,840.40, 16,228.92 and 9,802.80

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Solution

The fourth proportional to 10,840.40, 16,228.92 and 9,802.80 is: 14,675.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,840.40 : 16,228.92 = 9,802.80 : x
  2. Step 2: Convert to fraction form
    10,840.40/16,228.92 = 9,802.80/x
  3. Step 3: Cross multiply
    10,840.40x = 16,228.92 × 9,802.80
  4. Step 4: Simplify right side
    10,840.40x = 159,088,856.98
  5. Step 5: Solve for x
    x = 159,088,856.98/10,840.40
  6. Step 6: Final answer
    x = 14,675.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.