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Finding the Fourth Proportional to 10,993.61, 16,430.05 and 8,038.27

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Solution

The fourth proportional to 10,993.61, 16,430.05 and 8,038.27 is: 12,013.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,993.61 : 16,430.05 = 8,038.27 : x
  2. Step 2: Convert to fraction form
    10,993.61/16,430.05 = 8,038.27/x
  3. Step 3: Cross multiply
    10,993.61x = 16,430.05 × 8,038.27
  4. Step 4: Simplify right side
    10,993.61x = 132,069,178.01
  5. Step 5: Solve for x
    x = 132,069,178.01/10,993.61
  6. Step 6: Final answer
    x = 12,013.27

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.