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Finding the Fourth Proportional to 7,431.68, 10,256.64 and 4,640

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Solution

The fourth proportional to 7,431.68, 10,256.64 and 4,640 is: 6,403.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,431.68 : 10,256.64 = 4,640 : x
  2. Step 2: Convert to fraction form
    7,431.68/10,256.64 = 4,640/x
  3. Step 3: Cross multiply
    7,431.68x = 10,256.64 × 4,640
  4. Step 4: Simplify right side
    7,431.68x = 47,590,809.60
  5. Step 5: Solve for x
    x = 47,590,809.60/7,431.68
  6. Step 6: Final answer
    x = 6,403.78

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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.