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Finding the Fourth Proportional to 7,307.57, 10,961.37 and 4,712.33

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Solution

The fourth proportional to 7,307.57, 10,961.37 and 4,712.33 is: 7,068.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,307.57 : 10,961.37 = 4,712.33 : x
  2. Step 2: Convert to fraction form
    7,307.57/10,961.37 = 4,712.33/x
  3. Step 3: Cross multiply
    7,307.57x = 10,961.37 × 4,712.33
  4. Step 4: Simplify right side
    7,307.57x = 51,653,620.10
  5. Step 5: Solve for x
    x = 51,653,620.10/7,307.57
  6. Step 6: Final answer
    x = 7,068.51

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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.