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Finding the Fourth Proportional to 7,592.68, 10,478.46 and 4,609.36

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Solution

The fourth proportional to 7,592.68, 10,478.46 and 4,609.36 is: 6,361.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,592.68 : 10,478.46 = 4,609.36 : x
  2. Step 2: Convert to fraction form
    7,592.68/10,478.46 = 4,609.36/x
  3. Step 3: Cross multiply
    7,592.68x = 10,478.46 × 4,609.36
  4. Step 4: Simplify right side
    7,592.68x = 48,298,994.39
  5. Step 5: Solve for x
    x = 48,298,994.39/7,592.68
  6. Step 6: Final answer
    x = 6,361.26

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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.