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Finding the Fourth Proportional to 10,012.35, 15,022.10 and 4,465.20

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Solution

The fourth proportional to 10,012.35, 15,022.10 and 4,465.20 is: 6,699.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,012.35 : 15,022.10 = 4,465.20 : x
  2. Step 2: Convert to fraction form
    10,012.35/15,022.10 = 4,465.20/x
  3. Step 3: Cross multiply
    10,012.35x = 15,022.10 × 4,465.20
  4. Step 4: Simplify right side
    10,012.35x = 67,076,680.92
  5. Step 5: Solve for x
    x = 67,076,680.92/10,012.35
  6. Step 6: Final answer
    x = 6,699.39

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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.