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Finding the Fourth Proportional to 10,307.96, 15,464.62 and 4,765.28

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Solution

The fourth proportional to 10,307.96, 15,464.62 and 4,765.28 is: 7,149.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,307.96 : 15,464.62 = 4,765.28 : x
  2. Step 2: Convert to fraction form
    10,307.96/15,464.62 = 4,765.28/x
  3. Step 3: Cross multiply
    10,307.96x = 15,464.62 × 4,765.28
  4. Step 4: Simplify right side
    10,307.96x = 73,693,244.39
  5. Step 5: Solve for x
    x = 73,693,244.39/10,307.96
  6. Step 6: Final answer
    x = 7,149.16

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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.