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Finding the Fourth Proportional to 10,803, 16,210.80 and 4,562.64

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Solution

The fourth proportional to 10,803, 16,210.80 and 4,562.64 is: 6,846.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,803 : 16,210.80 = 4,562.64 : x
  2. Step 2: Convert to fraction form
    10,803/16,210.80 = 4,562.64/x
  3. Step 3: Cross multiply
    10,803x = 16,210.80 × 4,562.64
  4. Step 4: Simplify right side
    10,803x = 73,964,044.51
  5. Step 5: Solve for x
    x = 73,964,044.51/10,803
  6. Step 6: Final answer
    x = 6,846.62

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Why These Related Problems?

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