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Finding the Fourth Proportional to 7,032.40, 10,549.12 and 2,649.76

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Solution

The fourth proportional to 7,032.40, 10,549.12 and 2,649.76 is: 3,974.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,032.40 : 10,549.12 = 2,649.76 : x
  2. Step 2: Convert to fraction form
    7,032.40/10,549.12 = 2,649.76/x
  3. Step 3: Cross multiply
    7,032.40x = 10,549.12 × 2,649.76
  4. Step 4: Simplify right side
    7,032.40x = 27,952,636.21
  5. Step 5: Solve for x
    x = 27,952,636.21/7,032.40
  6. Step 6: Final answer
    x = 3,974.84

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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.