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Finding the Fourth Proportional to 10,706.04, 14,775.48 and 5,990.76

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Solution

The fourth proportional to 10,706.04, 14,775.48 and 5,990.76 is: 8,267.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.04 : 14,775.48 = 5,990.76 : x
  2. Step 2: Convert to fraction form
    10,706.04/14,775.48 = 5,990.76/x
  3. Step 3: Cross multiply
    10,706.04x = 14,775.48 × 5,990.76
  4. Step 4: Simplify right side
    10,706.04x = 88,516,354.56
  5. Step 5: Solve for x
    x = 88,516,354.56/10,706.04
  6. Step 6: Final answer
    x = 8,267.89

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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.