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Finding the Fourth Proportional to 10,395.84, 15,588.72 and 3,468

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Solution

The fourth proportional to 10,395.84, 15,588.72 and 3,468 is: 5,200.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,395.84 : 15,588.72 = 3,468 : x
  2. Step 2: Convert to fraction form
    10,395.84/15,588.72 = 3,468/x
  3. Step 3: Cross multiply
    10,395.84x = 15,588.72 × 3,468
  4. Step 4: Simplify right side
    10,395.84x = 54,061,680.96
  5. Step 5: Solve for x
    x = 54,061,680.96/10,395.84
  6. Step 6: Final answer
    x = 5,200.32

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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.