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Finding the Fourth Proportional to 8,307.63, 11,458.08 and 5,323.77

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Solution

The fourth proportional to 8,307.63, 11,458.08 and 5,323.77 is: 7,342.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,307.63 : 11,458.08 = 5,323.77 : x
  2. Step 2: Convert to fraction form
    8,307.63/11,458.08 = 5,323.77/x
  3. Step 3: Cross multiply
    8,307.63x = 11,458.08 × 5,323.77
  4. Step 4: Simplify right side
    8,307.63x = 61,000,182.56
  5. Step 5: Solve for x
    x = 61,000,182.56/8,307.63
  6. Step 6: Final answer
    x = 7,342.67

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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.