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Finding the Fourth Proportional to 8,678.00, 13,042.53 and 7,206.68

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Solution

The fourth proportional to 8,678.00, 13,042.53 and 7,206.68 is: 10,831.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,678.00 : 13,042.53 = 7,206.68 : x
  2. Step 2: Convert to fraction form
    8,678.00/13,042.53 = 7,206.68/x
  3. Step 3: Cross multiply
    8,678.00x = 13,042.53 × 7,206.68
  4. Step 4: Simplify right side
    8,678.00x = 93,993,372.71
  5. Step 5: Solve for x
    x = 93,993,372.71/8,678.00
  6. Step 6: Final answer
    x = 10,831.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.