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Finding the Fourth Proportional to 7,784.36, 11,718.08 and 6,980.63

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Solution

The fourth proportional to 7,784.36, 11,718.08 and 6,980.63 is: 10,508.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,784.36 : 11,718.08 = 6,980.63 : x
  2. Step 2: Convert to fraction form
    7,784.36/11,718.08 = 6,980.63/x
  3. Step 3: Cross multiply
    7,784.36x = 11,718.08 × 6,980.63
  4. Step 4: Simplify right side
    7,784.36x = 81,799,487.30
  5. Step 5: Solve for x
    x = 81,799,487.30/7,784.36
  6. Step 6: Final answer
    x = 10,508.19

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.