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Finding the Fourth Proportional to 10,627.34, 14,665.47 and 6,150.47

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Solution

The fourth proportional to 10,627.34, 14,665.47 and 6,150.47 is: 8,487.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,627.34 : 14,665.47 = 6,150.47 : x
  2. Step 2: Convert to fraction form
    10,627.34/14,665.47 = 6,150.47/x
  3. Step 3: Cross multiply
    10,627.34x = 14,665.47 × 6,150.47
  4. Step 4: Simplify right side
    10,627.34x = 90,199,533.27
  5. Step 5: Solve for x
    x = 90,199,533.27/10,627.34
  6. Step 6: Final answer
    x = 8,487.50

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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.