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Finding the Fourth Proportional to 7,503.14, 11,256.38 and 2,823.19

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Solution

The fourth proportional to 7,503.14, 11,256.38 and 2,823.19 is: 4,235.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,503.14 : 11,256.38 = 2,823.19 : x
  2. Step 2: Convert to fraction form
    7,503.14/11,256.38 = 2,823.19/x
  3. Step 3: Cross multiply
    7,503.14x = 11,256.38 × 2,823.19
  4. Step 4: Simplify right side
    7,503.14x = 31,778,829.05
  5. Step 5: Solve for x
    x = 31,778,829.05/7,503.14
  6. Step 6: Final answer
    x = 4,235.41

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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.