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Finding the Fourth Proportional to 10,292.63, 15,459.60 and 6,140.73

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Solution

The fourth proportional to 10,292.63, 15,459.60 and 6,140.73 is: 9,223.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,292.63 : 15,459.60 = 6,140.73 : x
  2. Step 2: Convert to fraction form
    10,292.63/15,459.60 = 6,140.73/x
  3. Step 3: Cross multiply
    10,292.63x = 15,459.60 × 6,140.73
  4. Step 4: Simplify right side
    10,292.63x = 94,933,229.51
  5. Step 5: Solve for x
    x = 94,933,229.51/10,292.63
  6. Step 6: Final answer
    x = 9,223.42

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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.