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Finding the Fourth Proportional to 8,307.34, 11,465.28 and 4,770.47

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Solution

The fourth proportional to 8,307.34, 11,465.28 and 4,770.47 is: 6,583.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,307.34 : 11,465.28 = 4,770.47 : x
  2. Step 2: Convert to fraction form
    8,307.34/11,465.28 = 4,770.47/x
  3. Step 3: Cross multiply
    8,307.34x = 11,465.28 × 4,770.47
  4. Step 4: Simplify right side
    8,307.34x = 54,694,802.94
  5. Step 5: Solve for x
    x = 54,694,802.94/8,307.34
  6. Step 6: Final answer
    x = 6,583.91

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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.