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Finding the Fourth Proportional to 11,385.23, 17,078.85 and 4,364.96

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Solution

The fourth proportional to 11,385.23, 17,078.85 and 4,364.96 is: 6,547.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,385.23 : 17,078.85 = 4,364.96 : x
  2. Step 2: Convert to fraction form
    11,385.23/17,078.85 = 4,364.96/x
  3. Step 3: Cross multiply
    11,385.23x = 17,078.85 × 4,364.96
  4. Step 4: Simplify right side
    11,385.23x = 74,548,411.70
  5. Step 5: Solve for x
    x = 74,548,411.70/11,385.23
  6. Step 6: Final answer
    x = 6,547.82

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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.