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Finding the Fourth Proportional to 10,656.77, 14,709.48 and 6,182.60

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Solution

The fourth proportional to 10,656.77, 14,709.48 and 6,182.60 is: 8,533.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,656.77 : 14,709.48 = 6,182.60 : x
  2. Step 2: Convert to fraction form
    10,656.77/14,709.48 = 6,182.60/x
  3. Step 3: Cross multiply
    10,656.77x = 14,709.48 × 6,182.60
  4. Step 4: Simplify right side
    10,656.77x = 90,942,831.05
  5. Step 5: Solve for x
    x = 90,942,831.05/10,656.77
  6. Step 6: Final answer
    x = 8,533.81

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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.