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Finding the Fourth Proportional to 8,316.27, 11,477.94 and 4,959.30

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Solution

The fourth proportional to 8,316.27, 11,477.94 and 4,959.30 is: 6,844.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,316.27 : 11,477.94 = 4,959.30 : x
  2. Step 2: Convert to fraction form
    8,316.27/11,477.94 = 4,959.30/x
  3. Step 3: Cross multiply
    8,316.27x = 11,477.94 × 4,959.30
  4. Step 4: Simplify right side
    8,316.27x = 56,922,547.84
  5. Step 5: Solve for x
    x = 56,922,547.84/8,316.27
  6. Step 6: Final answer
    x = 6,844.72

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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.