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Finding the Fourth Proportional to 7,006.24, 10,506 and 3,720.88

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Solution

The fourth proportional to 7,006.24, 10,506 and 3,720.88 is: 5,579.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,006.24 : 10,506 = 3,720.88 : x
  2. Step 2: Convert to fraction form
    7,006.24/10,506 = 3,720.88/x
  3. Step 3: Cross multiply
    7,006.24x = 10,506 × 3,720.88
  4. Step 4: Simplify right side
    7,006.24x = 39,091,565.28
  5. Step 5: Solve for x
    x = 39,091,565.28/7,006.24
  6. Step 6: Final answer
    x = 5,579.54

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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.