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Finding the Fourth Proportional to 7,708.14, 10,639.89 and 4,564.17

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Solution

The fourth proportional to 7,708.14, 10,639.89 and 4,564.17 is: 6,300.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,708.14 : 10,639.89 = 4,564.17 : x
  2. Step 2: Convert to fraction form
    7,708.14/10,639.89 = 4,564.17/x
  3. Step 3: Cross multiply
    7,708.14x = 10,639.89 × 4,564.17
  4. Step 4: Simplify right side
    7,708.14x = 48,562,266.74
  5. Step 5: Solve for x
    x = 48,562,266.74/7,708.14
  6. Step 6: Final answer
    x = 6,300.13

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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.