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Finding the Fourth Proportional to 10,858.53, 16,315.13 and 6,911.60

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Solution

The fourth proportional to 10,858.53, 16,315.13 and 6,911.60 is: 10,384.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,858.53 : 16,315.13 = 6,911.60 : x
  2. Step 2: Convert to fraction form
    10,858.53/16,315.13 = 6,911.60/x
  3. Step 3: Cross multiply
    10,858.53x = 16,315.13 × 6,911.60
  4. Step 4: Simplify right side
    10,858.53x = 112,763,652.51
  5. Step 5: Solve for x
    x = 112,763,652.51/10,858.53
  6. Step 6: Final answer
    x = 10,384.80

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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.