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Finding the Fourth Proportional to 10,903.12, 16,352.68 and 2,897.92

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Solution

The fourth proportional to 10,903.12, 16,352.68 and 2,897.92 is: 4,346.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,903.12 : 16,352.68 = 2,897.92 : x
  2. Step 2: Convert to fraction form
    10,903.12/16,352.68 = 2,897.92/x
  3. Step 3: Cross multiply
    10,903.12x = 16,352.68 × 2,897.92
  4. Step 4: Simplify right side
    10,903.12x = 47,388,758.43
  5. Step 5: Solve for x
    x = 47,388,758.43/10,903.12
  6. Step 6: Final answer
    x = 4,346.35

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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.