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Finding the Fourth Proportional to 7,883.12, 11,827.40 and 3,503.64

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Solution

The fourth proportional to 7,883.12, 11,827.40 and 3,503.64 is: 5,256.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,883.12 : 11,827.40 = 3,503.64 : x
  2. Step 2: Convert to fraction form
    7,883.12/11,827.40 = 3,503.64/x
  3. Step 3: Cross multiply
    7,883.12x = 11,827.40 × 3,503.64
  4. Step 4: Simplify right side
    7,883.12x = 41,438,934.22
  5. Step 5: Solve for x
    x = 41,438,934.22/7,883.12
  6. Step 6: Final answer
    x = 5,256.67

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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.