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Finding the Fourth Proportional to 7,282.08, 10,038.68 and 5,790.60

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Solution

The fourth proportional to 7,282.08, 10,038.68 and 5,790.60 is: 7,982.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,282.08 : 10,038.68 = 5,790.60 : x
  2. Step 2: Convert to fraction form
    7,282.08/10,038.68 = 5,790.60/x
  3. Step 3: Cross multiply
    7,282.08x = 10,038.68 × 5,790.60
  4. Step 4: Simplify right side
    7,282.08x = 58,129,980.41
  5. Step 5: Solve for x
    x = 58,129,980.41/7,282.08
  6. Step 6: Final answer
    x = 7,982.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.