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Finding the Fourth Proportional to 7,507, 10,359.66 and 4,195

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Solution

The fourth proportional to 7,507, 10,359.66 and 4,195 is: 5,789.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,507 : 10,359.66 = 4,195 : x
  2. Step 2: Convert to fraction form
    7,507/10,359.66 = 4,195/x
  3. Step 3: Cross multiply
    7,507x = 10,359.66 × 4,195
  4. Step 4: Simplify right side
    7,507x = 43,458,773.70
  5. Step 5: Solve for x
    x = 43,458,773.70/7,507
  6. Step 6: Final answer
    x = 5,789.10

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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.