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Finding the Fourth Proportional to 7,225.64, 10,827.10 and 5,586.20

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Solution

The fourth proportional to 7,225.64, 10,827.10 and 5,586.20 is: 8,370.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,225.64 : 10,827.10 = 5,586.20 : x
  2. Step 2: Convert to fraction form
    7,225.64/10,827.10 = 5,586.20/x
  3. Step 3: Cross multiply
    7,225.64x = 10,827.10 × 5,586.20
  4. Step 4: Simplify right side
    7,225.64x = 60,482,346.02
  5. Step 5: Solve for x
    x = 60,482,346.02/7,225.64
  6. Step 6: Final answer
    x = 8,370.52

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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.