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Finding the Fourth Proportional to 10,193.67, 15,290.52 and 8,210.01

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Solution

The fourth proportional to 10,193.67, 15,290.52 and 8,210.01 is: 12,315.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,193.67 : 15,290.52 = 8,210.01 : x
  2. Step 2: Convert to fraction form
    10,193.67/15,290.52 = 8,210.01/x
  3. Step 3: Cross multiply
    10,193.67x = 15,290.52 × 8,210.01
  4. Step 4: Simplify right side
    10,193.67x = 125,535,322.11
  5. Step 5: Solve for x
    x = 125,535,322.11/10,193.67
  6. Step 6: Final answer
    x = 12,315.03

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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.