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Finding the Fourth Proportional to 8,892.96, 12,268.08 and 5,748

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Solution

The fourth proportional to 8,892.96, 12,268.08 and 5,748 is: 7,929.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,892.96 : 12,268.08 = 5,748 : x
  2. Step 2: Convert to fraction form
    8,892.96/12,268.08 = 5,748/x
  3. Step 3: Cross multiply
    8,892.96x = 12,268.08 × 5,748
  4. Step 4: Simplify right side
    8,892.96x = 70,516,923.84
  5. Step 5: Solve for x
    x = 70,516,923.84/8,892.96
  6. Step 6: Final answer
    x = 7,929.52

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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.