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Finding the Fourth Proportional to 10,487.56, 14,488.74 and 7,830.37

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Solution

The fourth proportional to 10,487.56, 14,488.74 and 7,830.37 is: 10,817.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,487.56 : 14,488.74 = 7,830.37 : x
  2. Step 2: Convert to fraction form
    10,487.56/14,488.74 = 7,830.37/x
  3. Step 3: Cross multiply
    10,487.56x = 14,488.74 × 7,830.37
  4. Step 4: Simplify right side
    10,487.56x = 113,452,195.03
  5. Step 5: Solve for x
    x = 113,452,195.03/10,487.56
  6. Step 6: Final answer
    x = 10,817.79

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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.