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Finding the Fourth Proportional to 7,925.04, 11,889.36 and 5,460.84

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Solution

The fourth proportional to 7,925.04, 11,889.36 and 5,460.84 is: 8,192.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,925.04 : 11,889.36 = 5,460.84 : x
  2. Step 2: Convert to fraction form
    7,925.04/11,889.36 = 5,460.84/x
  3. Step 3: Cross multiply
    7,925.04x = 11,889.36 × 5,460.84
  4. Step 4: Simplify right side
    7,925.04x = 64,925,892.66
  5. Step 5: Solve for x
    x = 64,925,892.66/7,925.04
  6. Step 6: Final answer
    x = 8,192.50

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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.