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Finding the Fourth Proportional to 7,708.34, 10,638.69 and 4,352.50

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Solution

The fourth proportional to 7,708.34, 10,638.69 and 4,352.50 is: 6,007.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,708.34 : 10,638.69 = 4,352.50 : x
  2. Step 2: Convert to fraction form
    7,708.34/10,638.69 = 4,352.50/x
  3. Step 3: Cross multiply
    7,708.34x = 10,638.69 × 4,352.50
  4. Step 4: Simplify right side
    7,708.34x = 46,304,898.23
  5. Step 5: Solve for x
    x = 46,304,898.23/7,708.34
  6. Step 6: Final answer
    x = 6,007.12

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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.