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Finding the Fourth Proportional to 8,316.77, 11,478.63 and 4,959.80

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Solution

The fourth proportional to 8,316.77, 11,478.63 and 4,959.80 is: 6,845.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,316.77 : 11,478.63 = 4,959.80 : x
  2. Step 2: Convert to fraction form
    8,316.77/11,478.63 = 4,959.80/x
  3. Step 3: Cross multiply
    8,316.77x = 11,478.63 × 4,959.80
  4. Step 4: Simplify right side
    8,316.77x = 56,931,709.07
  5. Step 5: Solve for x
    x = 56,931,709.07/8,316.77
  6. Step 6: Final answer
    x = 6,845.41

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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.