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Finding the Fourth Proportional to 10,592.03, 14,628.74 and 7,228.91

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Solution

The fourth proportional to 10,592.03, 14,628.74 and 7,228.91 is: 9,983.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,592.03 : 14,628.74 = 7,228.91 : x
  2. Step 2: Convert to fraction form
    10,592.03/14,628.74 = 7,228.91/x
  3. Step 3: Cross multiply
    10,592.03x = 14,628.74 × 7,228.91
  4. Step 4: Simplify right side
    10,592.03x = 105,749,845.30
  5. Step 5: Solve for x
    x = 105,749,845.30/10,592.03
  6. Step 6: Final answer
    x = 9,983.90

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