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Finding the Fourth Proportional to 8,307.33, 12,465.23 and 5,186.67

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Solution

The fourth proportional to 8,307.33, 12,465.23 and 5,186.67 is: 7,782.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,307.33 : 12,465.23 = 5,186.67 : x
  2. Step 2: Convert to fraction form
    8,307.33/12,465.23 = 5,186.67/x
  3. Step 3: Cross multiply
    8,307.33x = 12,465.23 × 5,186.67
  4. Step 4: Simplify right side
    8,307.33x = 64,653,008.55
  5. Step 5: Solve for x
    x = 64,653,008.55/8,307.33
  6. Step 6: Final answer
    x = 7,782.65

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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.