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Finding the Fourth Proportional to 10,802.08, 16,203.12 and 8,340.48

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Solution

The fourth proportional to 10,802.08, 16,203.12 and 8,340.48 is: 12,510.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802.08 : 16,203.12 = 8,340.48 : x
  2. Step 2: Convert to fraction form
    10,802.08/16,203.12 = 8,340.48/x
  3. Step 3: Cross multiply
    10,802.08x = 16,203.12 × 8,340.48
  4. Step 4: Simplify right side
    10,802.08x = 135,141,798.30
  5. Step 5: Solve for x
    x = 135,141,798.30/10,802.08
  6. Step 6: Final answer
    x = 12,510.72

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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.