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Finding the Fourth Proportional to 7,596.10, 10,485.82 and 4,612.89

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Solution

The fourth proportional to 7,596.10, 10,485.82 and 4,612.89 is: 6,367.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,596.10 : 10,485.82 = 4,612.89 : x
  2. Step 2: Convert to fraction form
    7,596.10/10,485.82 = 4,612.89/x
  3. Step 3: Cross multiply
    7,596.10x = 10,485.82 × 4,612.89
  4. Step 4: Simplify right side
    7,596.10x = 48,369,962.01
  5. Step 5: Solve for x
    x = 48,369,962.01/7,596.10
  6. Step 6: Final answer
    x = 6,367.74

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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.