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Finding the Fourth Proportional to 10,632.67, 14,673.05 and 6,155.70

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Solution

The fourth proportional to 10,632.67, 14,673.05 and 6,155.70 is: 8,494.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,632.67 : 14,673.05 = 6,155.70 : x
  2. Step 2: Convert to fraction form
    10,632.67/14,673.05 = 6,155.70/x
  3. Step 3: Cross multiply
    10,632.67x = 14,673.05 × 6,155.70
  4. Step 4: Simplify right side
    10,632.67x = 90,322,831.17
  5. Step 5: Solve for x
    x = 90,322,831.17/10,632.67
  6. Step 6: Final answer
    x = 8,494.84

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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.