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Finding the Fourth Proportional to 10,622.88, 15,936.48 and 3,697.92

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Solution

The fourth proportional to 10,622.88, 15,936.48 and 3,697.92 is: 5,547.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,622.88 : 15,936.48 = 3,697.92 : x
  2. Step 2: Convert to fraction form
    10,622.88/15,936.48 = 3,697.92/x
  3. Step 3: Cross multiply
    10,622.88x = 15,936.48 × 3,697.92
  4. Step 4: Simplify right side
    10,622.88x = 58,931,828.12
  5. Step 5: Solve for x
    x = 58,931,828.12/10,622.88
  6. Step 6: Final answer
    x = 5,547.63

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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.