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Finding the Fourth Proportional to 10,911.66, 16,374.86 and 7,018.80

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Solution

The fourth proportional to 10,911.66, 16,374.86 and 7,018.80 is: 10,532.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,911.66 : 16,374.86 = 7,018.80 : x
  2. Step 2: Convert to fraction form
    10,911.66/16,374.86 = 7,018.80/x
  3. Step 3: Cross multiply
    10,911.66x = 16,374.86 × 7,018.80
  4. Step 4: Simplify right side
    10,911.66x = 114,931,867.37
  5. Step 5: Solve for x
    x = 114,931,867.37/10,911.66
  6. Step 6: Final answer
    x = 10,532.94

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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.