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Finding the Fourth Proportional to 7,224.10, 10,830.86 and 4,878.30

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Solution

The fourth proportional to 7,224.10, 10,830.86 and 4,878.30 is: 7,313.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,224.10 : 10,830.86 = 4,878.30 : x
  2. Step 2: Convert to fraction form
    7,224.10/10,830.86 = 4,878.30/x
  3. Step 3: Cross multiply
    7,224.10x = 10,830.86 × 4,878.30
  4. Step 4: Simplify right side
    7,224.10x = 52,836,184.34
  5. Step 5: Solve for x
    x = 52,836,184.34/7,224.10
  6. Step 6: Final answer
    x = 7,313.88

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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.