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Finding the Fourth Proportional to 7,032.95, 10,549.81 and 2,102.97

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Solution

The fourth proportional to 7,032.95, 10,549.81 and 2,102.97 is: 3,154.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,032.95 : 10,549.81 = 2,102.97 : x
  2. Step 2: Convert to fraction form
    7,032.95/10,549.81 = 2,102.97/x
  3. Step 3: Cross multiply
    7,032.95x = 10,549.81 × 2,102.97
  4. Step 4: Simplify right side
    7,032.95x = 22,185,933.94
  5. Step 5: Solve for x
    x = 22,185,933.94/7,032.95
  6. Step 6: Final answer
    x = 3,154.57

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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.