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Finding the Fourth Proportional to 10,113, 15,172.06 and 2,817

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Solution

The fourth proportional to 10,113, 15,172.06 and 2,817 is: 4,226.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,113 : 15,172.06 = 2,817 : x
  2. Step 2: Convert to fraction form
    10,113/15,172.06 = 2,817/x
  3. Step 3: Cross multiply
    10,113x = 15,172.06 × 2,817
  4. Step 4: Simplify right side
    10,113x = 42,739,693.02
  5. Step 5: Solve for x
    x = 42,739,693.02/10,113
  6. Step 6: Final answer
    x = 4,226.21

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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.