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Finding the Fourth Proportional to 7,280.10, 10,035.95 and 5,788.62

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Solution

The fourth proportional to 7,280.10, 10,035.95 and 5,788.62 is: 7,979.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,280.10 : 10,035.95 = 5,788.62 : x
  2. Step 2: Convert to fraction form
    7,280.10/10,035.95 = 5,788.62/x
  3. Step 3: Cross multiply
    7,280.10x = 10,035.95 × 5,788.62
  4. Step 4: Simplify right side
    7,280.10x = 58,094,271.95
  5. Step 5: Solve for x
    x = 58,094,271.95/7,280.10
  6. Step 6: Final answer
    x = 7,979.87

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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.