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Finding the Fourth Proportional to 7,708.84, 10,638.32 and 4,351

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Solution

The fourth proportional to 7,708.84, 10,638.32 and 4,351 is: 6,004.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,708.84 : 10,638.32 = 4,351 : x
  2. Step 2: Convert to fraction form
    7,708.84/10,638.32 = 4,351/x
  3. Step 3: Cross multiply
    7,708.84x = 10,638.32 × 4,351
  4. Step 4: Simplify right side
    7,708.84x = 46,287,330.32
  5. Step 5: Solve for x
    x = 46,287,330.32/7,708.84
  6. Step 6: Final answer
    x = 6,004.45

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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.