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Finding the Fourth Proportional to 10,307.78, 15,464.74 and 7,311.59

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Solution

The fourth proportional to 10,307.78, 15,464.74 and 7,311.59 is: 10,969.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,307.78 : 15,464.74 = 7,311.59 : x
  2. Step 2: Convert to fraction form
    10,307.78/15,464.74 = 7,311.59/x
  3. Step 3: Cross multiply
    10,307.78x = 15,464.74 × 7,311.59
  4. Step 4: Simplify right side
    10,307.78x = 113,071,761.01
  5. Step 5: Solve for x
    x = 113,071,761.01/10,307.78
  6. Step 6: Final answer
    x = 10,969.56

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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.