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Finding the Fourth Proportional to 10,003.57, 15,005.34 and 2,983.40

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Solution

The fourth proportional to 10,003.57, 15,005.34 and 2,983.40 is: 4,475.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,003.57 : 15,005.34 = 2,983.40 : x
  2. Step 2: Convert to fraction form
    10,003.57/15,005.34 = 2,983.40/x
  3. Step 3: Cross multiply
    10,003.57x = 15,005.34 × 2,983.40
  4. Step 4: Simplify right side
    10,003.57x = 44,766,931.36
  5. Step 5: Solve for x
    x = 44,766,931.36/10,003.57
  6. Step 6: Final answer
    x = 4,475.10

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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.