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Finding the Fourth Proportional to 10,497.03, 15,745.69 and 2,705.84

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Solution

The fourth proportional to 10,497.03, 15,745.69 and 2,705.84 is: 4,058.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.03 : 15,745.69 = 2,705.84 : x
  2. Step 2: Convert to fraction form
    10,497.03/15,745.69 = 2,705.84/x
  3. Step 3: Cross multiply
    10,497.03x = 15,745.69 × 2,705.84
  4. Step 4: Simplify right side
    10,497.03x = 42,605,301.53
  5. Step 5: Solve for x
    x = 42,605,301.53/10,497.03
  6. Step 6: Final answer
    x = 4,058.80

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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.