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Finding the Fourth Proportional to 11,785.23, 16,263.47 and 6,480

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Solution

The fourth proportional to 11,785.23, 16,263.47 and 6,480 is: 8,942.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,785.23 : 16,263.47 = 6,480 : x
  2. Step 2: Convert to fraction form
    11,785.23/16,263.47 = 6,480/x
  3. Step 3: Cross multiply
    11,785.23x = 16,263.47 × 6,480
  4. Step 4: Simplify right side
    11,785.23x = 105,387,253.20
  5. Step 5: Solve for x
    x = 105,387,253.20/11,785.23
  6. Step 6: Final answer
    x = 8,942.32

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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.