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Finding the Fourth Proportional to 10,455.10, 15,682.65 and 10,051.90

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Solution

The fourth proportional to 10,455.10, 15,682.65 and 10,051.90 is: 15,077.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,455.10 : 15,682.65 = 10,051.90 : x
  2. Step 2: Convert to fraction form
    10,455.10/15,682.65 = 10,051.90/x
  3. Step 3: Cross multiply
    10,455.10x = 15,682.65 × 10,051.90
  4. Step 4: Simplify right side
    10,455.10x = 157,640,429.54
  5. Step 5: Solve for x
    x = 157,640,429.54/10,455.10
  6. Step 6: Final answer
    x = 15,077.85

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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.