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Finding the Fourth Proportional to 10,802.96, 16,205.40 and 3,011.92

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Solution

The fourth proportional to 10,802.96, 16,205.40 and 3,011.92 is: 4,518.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802.96 : 16,205.40 = 3,011.92 : x
  2. Step 2: Convert to fraction form
    10,802.96/16,205.40 = 3,011.92/x
  3. Step 3: Cross multiply
    10,802.96x = 16,205.40 × 3,011.92
  4. Step 4: Simplify right side
    10,802.96x = 48,809,368.37
  5. Step 5: Solve for x
    x = 48,809,368.37/10,802.96
  6. Step 6: Final answer
    x = 4,518.15

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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.