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Finding the Fourth Proportional to 8,657.16, 11,946 and 5,119.68

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Solution

The fourth proportional to 8,657.16, 11,946 and 5,119.68 is: 7,064.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,657.16 : 11,946 = 5,119.68 : x
  2. Step 2: Convert to fraction form
    8,657.16/11,946 = 5,119.68/x
  3. Step 3: Cross multiply
    8,657.16x = 11,946 × 5,119.68
  4. Step 4: Simplify right side
    8,657.16x = 61,159,697.28
  5. Step 5: Solve for x
    x = 61,159,697.28/8,657.16
  6. Step 6: Final answer
    x = 7,064.64

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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.