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Finding the Fourth Proportional to 10,959.68, 16,435.92 and 4,384.16

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Solution

The fourth proportional to 10,959.68, 16,435.92 and 4,384.16 is: 6,574.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,959.68 : 16,435.92 = 4,384.16 : x
  2. Step 2: Convert to fraction form
    10,959.68/16,435.92 = 4,384.16/x
  3. Step 3: Cross multiply
    10,959.68x = 16,435.92 × 4,384.16
  4. Step 4: Simplify right side
    10,959.68x = 72,057,703.03
  5. Step 5: Solve for x
    x = 72,057,703.03/10,959.68
  6. Step 6: Final answer
    x = 6,574.80

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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.