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Finding the Fourth Proportional to 10,381.12, 15,570 and 2,983.90

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Solution

The fourth proportional to 10,381.12, 15,570 and 2,983.90 is: 4,475.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,381.12 : 15,570 = 2,983.90 : x
  2. Step 2: Convert to fraction form
    10,381.12/15,570 = 2,983.90/x
  3. Step 3: Cross multiply
    10,381.12x = 15,570 × 2,983.90
  4. Step 4: Simplify right side
    10,381.12x = 46,459,323
  5. Step 5: Solve for x
    x = 46,459,323/10,381.12
  6. Step 6: Final answer
    x = 4,475.37

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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.