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Finding the Fourth Proportional to 8,307.15, 11,464.10 and 4,770.28

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Solution

The fourth proportional to 8,307.15, 11,464.10 and 4,770.28 is: 6,583.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,307.15 : 11,464.10 = 4,770.28 : x
  2. Step 2: Convert to fraction form
    8,307.15/11,464.10 = 4,770.28/x
  3. Step 3: Cross multiply
    8,307.15x = 11,464.10 × 4,770.28
  4. Step 4: Simplify right side
    8,307.15x = 54,686,966.95
  5. Step 5: Solve for x
    x = 54,686,966.95/8,307.15
  6. Step 6: Final answer
    x = 6,583.12

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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.