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Finding the Fourth Proportional to 7,444.86, 11,166.93 and 2,827.50

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Solution

The fourth proportional to 7,444.86, 11,166.93 and 2,827.50 is: 4,241.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,444.86 : 11,166.93 = 2,827.50 : x
  2. Step 2: Convert to fraction form
    7,444.86/11,166.93 = 2,827.50/x
  3. Step 3: Cross multiply
    7,444.86x = 11,166.93 × 2,827.50
  4. Step 4: Simplify right side
    7,444.86x = 31,574,494.58
  5. Step 5: Solve for x
    x = 31,574,494.58/7,444.86
  6. Step 6: Final answer
    x = 4,241.11

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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.