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Finding the Fourth Proportional to 10,205.55, 14,083.65 and 5,956.29

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Solution

The fourth proportional to 10,205.55, 14,083.65 and 5,956.29 is: 8,219.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,205.55 : 14,083.65 = 5,956.29 : x
  2. Step 2: Convert to fraction form
    10,205.55/14,083.65 = 5,956.29/x
  3. Step 3: Cross multiply
    10,205.55x = 14,083.65 × 5,956.29
  4. Step 4: Simplify right side
    10,205.55x = 83,886,303.66
  5. Step 5: Solve for x
    x = 83,886,303.66/10,205.55
  6. Step 6: Final answer
    x = 8,219.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.