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Finding the Fourth Proportional to 10,980.69, 16,470.90 and 4,406.76

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Solution

The fourth proportional to 10,980.69, 16,470.90 and 4,406.76 is: 6,610.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,980.69 : 16,470.90 = 4,406.76 : x
  2. Step 2: Convert to fraction form
    10,980.69/16,470.90 = 4,406.76/x
  3. Step 3: Cross multiply
    10,980.69x = 16,470.90 × 4,406.76
  4. Step 4: Simplify right side
    10,980.69x = 72,583,303.28
  5. Step 5: Solve for x
    x = 72,583,303.28/10,980.69
  6. Step 6: Final answer
    x = 6,610.09

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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.