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Finding the Fourth Proportional to 7,658.46, 10,570.86 and 4,633.57

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Solution

The fourth proportional to 7,658.46, 10,570.86 and 4,633.57 is: 6,395.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658.46 : 10,570.86 = 4,633.57 : x
  2. Step 2: Convert to fraction form
    7,658.46/10,570.86 = 4,633.57/x
  3. Step 3: Cross multiply
    7,658.46x = 10,570.86 × 4,633.57
  4. Step 4: Simplify right side
    7,658.46x = 48,980,832.98
  5. Step 5: Solve for x
    x = 48,980,832.98/7,658.46
  6. Step 6: Final answer
    x = 6,395.65

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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.