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Finding the Fourth Proportional to 8,307.47, 11,465.34 and 4,770.61

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Solution

The fourth proportional to 8,307.47, 11,465.34 and 4,770.61 is: 6,584.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,307.47 : 11,465.34 = 4,770.61 : x
  2. Step 2: Convert to fraction form
    8,307.47/11,465.34 = 4,770.61/x
  3. Step 3: Cross multiply
    8,307.47x = 11,465.34 × 4,770.61
  4. Step 4: Simplify right side
    8,307.47x = 54,696,665.66
  5. Step 5: Solve for x
    x = 54,696,665.66/8,307.47
  6. Step 6: Final answer
    x = 6,584.03

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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.