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Finding the Fourth Proportional to 10,802.45, 16,203.80 and 3,011.27

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Solution

The fourth proportional to 10,802.45, 16,203.80 and 3,011.27 is: 4,516.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802.45 : 16,203.80 = 3,011.27 : x
  2. Step 2: Convert to fraction form
    10,802.45/16,203.80 = 3,011.27/x
  3. Step 3: Cross multiply
    10,802.45x = 16,203.80 × 3,011.27
  4. Step 4: Simplify right side
    10,802.45x = 48,793,943.34
  5. Step 5: Solve for x
    x = 48,793,943.34/10,802.45
  6. Step 6: Final answer
    x = 4,516.93

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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.