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Finding the Fourth Proportional to 10,810.32, 16,166.07 and 7,858.68

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Solution

The fourth proportional to 10,810.32, 16,166.07 and 7,858.68 is: 11,752.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,810.32 : 16,166.07 = 7,858.68 : x
  2. Step 2: Convert to fraction form
    10,810.32/16,166.07 = 7,858.68/x
  3. Step 3: Cross multiply
    10,810.32x = 16,166.07 × 7,858.68
  4. Step 4: Simplify right side
    10,810.32x = 127,043,970.99
  5. Step 5: Solve for x
    x = 127,043,970.99/10,810.32
  6. Step 6: Final answer
    x = 11,752.10

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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.