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Finding the Fourth Proportional to 7,917.65, 11,894.85 and 7,492.50

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Solution

The fourth proportional to 7,917.65, 11,894.85 and 7,492.50 is: 11,256.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,917.65 : 11,894.85 = 7,492.50 : x
  2. Step 2: Convert to fraction form
    7,917.65/11,894.85 = 7,492.50/x
  3. Step 3: Cross multiply
    7,917.65x = 11,894.85 × 7,492.50
  4. Step 4: Simplify right side
    7,917.65x = 89,122,163.63
  5. Step 5: Solve for x
    x = 89,122,163.63/7,917.65
  6. Step 6: Final answer
    x = 11,256.15

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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.