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Finding the Fourth Proportional to 7,005.68, 10,506.28 and 3,305.68

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Solution

The fourth proportional to 7,005.68, 10,506.28 and 3,305.68 is: 4,957.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.68 : 10,506.28 = 3,305.68 : x
  2. Step 2: Convert to fraction form
    7,005.68/10,506.28 = 3,305.68/x
  3. Step 3: Cross multiply
    7,005.68x = 10,506.28 × 3,305.68
  4. Step 4: Simplify right side
    7,005.68x = 34,730,399.67
  5. Step 5: Solve for x
    x = 34,730,399.67/7,005.68
  6. Step 6: Final answer
    x = 4,957.46

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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.