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Finding the Fourth Proportional to 7,415.64, 11,125 and 2,485.32

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Solution

The fourth proportional to 7,415.64, 11,125 and 2,485.32 is: 3,728.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,415.64 : 11,125 = 2,485.32 : x
  2. Step 2: Convert to fraction form
    7,415.64/11,125 = 2,485.32/x
  3. Step 3: Cross multiply
    7,415.64x = 11,125 × 2,485.32
  4. Step 4: Simplify right side
    7,415.64x = 27,649,185
  5. Step 5: Solve for x
    x = 27,649,185/7,415.64
  6. Step 6: Final answer
    x = 3,728.50

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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.