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Finding the Fourth Proportional to 10,297.10, 15,445.65 and 5,113.10

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Solution

The fourth proportional to 10,297.10, 15,445.65 and 5,113.10 is: 7,669.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.10 : 15,445.65 = 5,113.10 : x
  2. Step 2: Convert to fraction form
    10,297.10/15,445.65 = 5,113.10/x
  3. Step 3: Cross multiply
    10,297.10x = 15,445.65 × 5,113.10
  4. Step 4: Simplify right side
    10,297.10x = 78,975,153.02
  5. Step 5: Solve for x
    x = 78,975,153.02/10,297.10
  6. Step 6: Final answer
    x = 7,669.65

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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.