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Finding the Fourth Proportional to 31,237.88, 46,856.78 and 7,864.32

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Solution

The fourth proportional to 31,237.88, 46,856.78 and 7,864.32 is: 11,796.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,237.88 : 46,856.78 = 7,864.32 : x
  2. Step 2: Convert to fraction form
    31,237.88/46,856.78 = 7,864.32/x
  3. Step 3: Cross multiply
    31,237.88x = 46,856.78 × 7,864.32
  4. Step 4: Simplify right side
    31,237.88x = 368,496,482.62
  5. Step 5: Solve for x
    x = 368,496,482.62/31,237.88
  6. Step 6: Final answer
    x = 11,796.46

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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.