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Finding the Fourth Proportional to 7,867.25, 10,856.67 and 4,509.98

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Solution

The fourth proportional to 7,867.25, 10,856.67 and 4,509.98 is: 6,223.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,867.25 : 10,856.67 = 4,509.98 : x
  2. Step 2: Convert to fraction form
    7,867.25/10,856.67 = 4,509.98/x
  3. Step 3: Cross multiply
    7,867.25x = 10,856.67 × 4,509.98
  4. Step 4: Simplify right side
    7,867.25x = 48,963,364.57
  5. Step 5: Solve for x
    x = 48,963,364.57/7,867.25
  6. Step 6: Final answer
    x = 6,223.70

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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.