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Finding the Fourth Proportional to 7,624.64, 10,522.04 and 4,267.56

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Solution

The fourth proportional to 7,624.64, 10,522.04 and 4,267.56 is: 5,889.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,624.64 : 10,522.04 = 4,267.56 : x
  2. Step 2: Convert to fraction form
    7,624.64/10,522.04 = 4,267.56/x
  3. Step 3: Cross multiply
    7,624.64x = 10,522.04 × 4,267.56
  4. Step 4: Simplify right side
    7,624.64x = 44,903,437.02
  5. Step 5: Solve for x
    x = 44,903,437.02/7,624.64
  6. Step 6: Final answer
    x = 5,889.25

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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.