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Finding the Fourth Proportional to 7,002.56, 10,506.74 and 2,841.52

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Solution

The fourth proportional to 7,002.56, 10,506.74 and 2,841.52 is: 4,263.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.56 : 10,506.74 = 2,841.52 : x
  2. Step 2: Convert to fraction form
    7,002.56/10,506.74 = 2,841.52/x
  3. Step 3: Cross multiply
    7,002.56x = 10,506.74 × 2,841.52
  4. Step 4: Simplify right side
    7,002.56x = 29,855,111.84
  5. Step 5: Solve for x
    x = 29,855,111.84/7,002.56
  6. Step 6: Final answer
    x = 4,263.46

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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.