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Finding the Fourth Proportional to 7,670.10, 10,581.42 and 4,483.20

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Solution

The fourth proportional to 7,670.10, 10,581.42 and 4,483.20 is: 6,184.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,670.10 : 10,581.42 = 4,483.20 : x
  2. Step 2: Convert to fraction form
    7,670.10/10,581.42 = 4,483.20/x
  3. Step 3: Cross multiply
    7,670.10x = 10,581.42 × 4,483.20
  4. Step 4: Simplify right side
    7,670.10x = 47,438,622.14
  5. Step 5: Solve for x
    x = 47,438,622.14/7,670.10
  6. Step 6: Final answer
    x = 6,184.88

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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.