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Finding the Fourth Proportional to 10,012.30, 14,986.05 and 7,809.10

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Solution

The fourth proportional to 10,012.30, 14,986.05 and 7,809.10 is: 11,688.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,012.30 : 14,986.05 = 7,809.10 : x
  2. Step 2: Convert to fraction form
    10,012.30/14,986.05 = 7,809.10/x
  3. Step 3: Cross multiply
    10,012.30x = 14,986.05 × 7,809.10
  4. Step 4: Simplify right side
    10,012.30x = 117,027,563.06
  5. Step 5: Solve for x
    x = 117,027,563.06/10,012.30
  6. Step 6: Final answer
    x = 11,688.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.