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Finding the Fourth Proportional to 10,295.46, 14,207.76 and 5,579.76

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Solution

The fourth proportional to 10,295.46, 14,207.76 and 5,579.76 is: 7,700.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,295.46 : 14,207.76 = 5,579.76 : x
  2. Step 2: Convert to fraction form
    10,295.46/14,207.76 = 5,579.76/x
  3. Step 3: Cross multiply
    10,295.46x = 14,207.76 × 5,579.76
  4. Step 4: Simplify right side
    10,295.46x = 79,275,890.94
  5. Step 5: Solve for x
    x = 79,275,890.94/10,295.46
  6. Step 6: Final answer
    x = 7,700.08

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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.