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Finding the Fourth Proportional to 7,478.64, 10,318.68 and 4,644.72

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Solution

The fourth proportional to 7,478.64, 10,318.68 and 4,644.72 is: 6,408.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,478.64 : 10,318.68 = 4,644.72 : x
  2. Step 2: Convert to fraction form
    7,478.64/10,318.68 = 4,644.72/x
  3. Step 3: Cross multiply
    7,478.64x = 10,318.68 × 4,644.72
  4. Step 4: Simplify right side
    7,478.64x = 47,927,379.37
  5. Step 5: Solve for x
    x = 47,927,379.37/7,478.64
  6. Step 6: Final answer
    x = 6,408.57

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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.