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Finding the Fourth Proportional to 10,788.24, 14,892.38 and 7,253.50

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Solution

The fourth proportional to 10,788.24, 14,892.38 and 7,253.50 is: 10,012.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,788.24 : 14,892.38 = 7,253.50 : x
  2. Step 2: Convert to fraction form
    10,788.24/14,892.38 = 7,253.50/x
  3. Step 3: Cross multiply
    10,788.24x = 14,892.38 × 7,253.50
  4. Step 4: Simplify right side
    10,788.24x = 108,021,842.06
  5. Step 5: Solve for x
    x = 108,021,842.06/10,788.24
  6. Step 6: Final answer
    x = 10,012.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.