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Finding the Fourth Proportional to 10,523.70, 14,523.73 and 7,866.50

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Solution

The fourth proportional to 10,523.70, 14,523.73 and 7,866.50 is: 10,856.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,523.70 : 14,523.73 = 7,866.50 : x
  2. Step 2: Convert to fraction form
    10,523.70/14,523.73 = 7,866.50/x
  3. Step 3: Cross multiply
    10,523.70x = 14,523.73 × 7,866.50
  4. Step 4: Simplify right side
    10,523.70x = 114,250,829.76
  5. Step 5: Solve for x
    x = 114,250,829.76/10,523.70
  6. Step 6: Final answer
    x = 10,856.53

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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.