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Finding the Fourth Proportional to 7,477.29, 10,319.46 and 4,120.44

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Solution

The fourth proportional to 7,477.29, 10,319.46 and 4,120.44 is: 5,686.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,477.29 : 10,319.46 = 4,120.44 : x
  2. Step 2: Convert to fraction form
    7,477.29/10,319.46 = 4,120.44/x
  3. Step 3: Cross multiply
    7,477.29x = 10,319.46 × 4,120.44
  4. Step 4: Simplify right side
    7,477.29x = 42,520,715.76
  5. Step 5: Solve for x
    x = 42,520,715.76/7,477.29
  6. Step 6: Final answer
    x = 5,686.65

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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.