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Finding the Fourth Proportional to 7,023.20, 9,690.72 and 4,505.76

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Solution

The fourth proportional to 7,023.20, 9,690.72 and 4,505.76 is: 6,217.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,023.20 : 9,690.72 = 4,505.76 : x
  2. Step 2: Convert to fraction form
    7,023.20/9,690.72 = 4,505.76/x
  3. Step 3: Cross multiply
    7,023.20x = 9,690.72 × 4,505.76
  4. Step 4: Simplify right side
    7,023.20x = 43,664,058.55
  5. Step 5: Solve for x
    x = 43,664,058.55/7,023.20
  6. Step 6: Final answer
    x = 6,217.12

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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.