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Finding the Fourth Proportional to 8,454.24, 11,666.88 and 4,916.52

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Solution

The fourth proportional to 8,454.24, 11,666.88 and 4,916.52 is: 6,784.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,454.24 : 11,666.88 = 4,916.52 : x
  2. Step 2: Convert to fraction form
    8,454.24/11,666.88 = 4,916.52/x
  3. Step 3: Cross multiply
    8,454.24x = 11,666.88 × 4,916.52
  4. Step 4: Simplify right side
    8,454.24x = 57,360,448.86
  5. Step 5: Solve for x
    x = 57,360,448.86/8,454.24
  6. Step 6: Final answer
    x = 6,784.81

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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.