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Finding the Fourth Proportional to 7,058.68, 10,588.06 and 1,864.50

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Solution

The fourth proportional to 7,058.68, 10,588.06 and 1,864.50 is: 2,796.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,058.68 : 10,588.06 = 1,864.50 : x
  2. Step 2: Convert to fraction form
    7,058.68/10,588.06 = 1,864.50/x
  3. Step 3: Cross multiply
    7,058.68x = 10,588.06 × 1,864.50
  4. Step 4: Simplify right side
    7,058.68x = 19,741,437.87
  5. Step 5: Solve for x
    x = 19,741,437.87/7,058.68
  6. Step 6: Final answer
    x = 2,796.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.