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Finding the Fourth Proportional to 10,289.76, 14,200.30 and 6,259.31

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Solution

The fourth proportional to 10,289.76, 14,200.30 and 6,259.31 is: 8,638.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,289.76 : 14,200.30 = 6,259.31 : x
  2. Step 2: Convert to fraction form
    10,289.76/14,200.30 = 6,259.31/x
  3. Step 3: Cross multiply
    10,289.76x = 14,200.30 × 6,259.31
  4. Step 4: Simplify right side
    10,289.76x = 88,883,977.49
  5. Step 5: Solve for x
    x = 88,883,977.49/10,289.76
  6. Step 6: Final answer
    x = 8,638.10

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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.