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Finding the Fourth Proportional to 7,592.91, 10,478.27 and 4,606.75

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Solution

The fourth proportional to 7,592.91, 10,478.27 and 4,606.75 is: 6,357.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,592.91 : 10,478.27 = 4,606.75 : x
  2. Step 2: Convert to fraction form
    7,592.91/10,478.27 = 4,606.75/x
  3. Step 3: Cross multiply
    7,592.91x = 10,478.27 × 4,606.75
  4. Step 4: Simplify right side
    7,592.91x = 48,270,770.32
  5. Step 5: Solve for x
    x = 48,270,770.32/7,592.91
  6. Step 6: Final answer
    x = 6,357.35

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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.