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Finding the Fourth Proportional to 8,823.64, 13,218.26 and 4,916.28

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Solution

The fourth proportional to 8,823.64, 13,218.26 and 4,916.28 is: 7,364.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,823.64 : 13,218.26 = 4,916.28 : x
  2. Step 2: Convert to fraction form
    8,823.64/13,218.26 = 4,916.28/x
  3. Step 3: Cross multiply
    8,823.64x = 13,218.26 × 4,916.28
  4. Step 4: Simplify right side
    8,823.64x = 64,984,667.27
  5. Step 5: Solve for x
    x = 64,984,667.27/8,823.64
  6. Step 6: Final answer
    x = 7,364.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.