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Finding the Fourth Proportional to 8,716.40, 12,023.80 and 5,523.84

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Solution

The fourth proportional to 8,716.40, 12,023.80 and 5,523.84 is: 7,619.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,716.40 : 12,023.80 = 5,523.84 : x
  2. Step 2: Convert to fraction form
    8,716.40/12,023.80 = 5,523.84/x
  3. Step 3: Cross multiply
    8,716.40x = 12,023.80 × 5,523.84
  4. Step 4: Simplify right side
    8,716.40x = 66,417,547.39
  5. Step 5: Solve for x
    x = 66,417,547.39/8,716.40
  6. Step 6: Final answer
    x = 7,619.84

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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.