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Finding the Fourth Proportional to 10,798.20, 14,898.42 and 7,441.92

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Solution

The fourth proportional to 10,798.20, 14,898.42 and 7,441.92 is: 10,267.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,798.20 : 14,898.42 = 7,441.92 : x
  2. Step 2: Convert to fraction form
    10,798.20/14,898.42 = 7,441.92/x
  3. Step 3: Cross multiply
    10,798.20x = 14,898.42 × 7,441.92
  4. Step 4: Simplify right side
    10,798.20x = 110,872,849.77
  5. Step 5: Solve for x
    x = 110,872,849.77/10,798.20
  6. Step 6: Final answer
    x = 10,267.72

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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.