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Finding the Fourth Proportional to 7,458.57, 10,288.77 and 4,624.98

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Solution

The fourth proportional to 7,458.57, 10,288.77 and 4,624.98 is: 6,379.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,458.57 : 10,288.77 = 4,624.98 : x
  2. Step 2: Convert to fraction form
    7,458.57/10,288.77 = 4,624.98/x
  3. Step 3: Cross multiply
    7,458.57x = 10,288.77 × 4,624.98
  4. Step 4: Simplify right side
    7,458.57x = 47,585,355.47
  5. Step 5: Solve for x
    x = 47,585,355.47/7,458.57
  6. Step 6: Final answer
    x = 6,379.96

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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.