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Finding the Fourth Proportional to 10,897.20, 16,339.20 and 4,315.80

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Solution

The fourth proportional to 10,897.20, 16,339.20 and 4,315.80 is: 6,471.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,897.20 : 16,339.20 = 4,315.80 : x
  2. Step 2: Convert to fraction form
    10,897.20/16,339.20 = 4,315.80/x
  3. Step 3: Cross multiply
    10,897.20x = 16,339.20 × 4,315.80
  4. Step 4: Simplify right side
    10,897.20x = 70,516,719.36
  5. Step 5: Solve for x
    x = 70,516,719.36/10,897.20
  6. Step 6: Final answer
    x = 6,471.09

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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.