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Finding the Fourth Proportional to 7,431.60, 11,125.50 and 5,492.46

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Solution

The fourth proportional to 7,431.60, 11,125.50 and 5,492.46 is: 8,222.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,431.60 : 11,125.50 = 5,492.46 : x
  2. Step 2: Convert to fraction form
    7,431.60/11,125.50 = 5,492.46/x
  3. Step 3: Cross multiply
    7,431.60x = 11,125.50 × 5,492.46
  4. Step 4: Simplify right side
    7,431.60x = 61,106,363.73
  5. Step 5: Solve for x
    x = 61,106,363.73/7,431.60
  6. Step 6: Final answer
    x = 8,222.50

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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.