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Finding the Fourth Proportional to 8,053, 11,116.16 and 4,696.86

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Solution

The fourth proportional to 8,053, 11,116.16 and 4,696.86 is: 6,483.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,053 : 11,116.16 = 4,696.86 : x
  2. Step 2: Convert to fraction form
    8,053/11,116.16 = 4,696.86/x
  3. Step 3: Cross multiply
    8,053x = 11,116.16 × 4,696.86
  4. Step 4: Simplify right side
    8,053x = 52,211,047.26
  5. Step 5: Solve for x
    x = 52,211,047.26/8,053
  6. Step 6: Final answer
    x = 6,483.43

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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.