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Finding the Fourth Proportional to 7,446.85, 10,276.58 and 4,089.71

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Solution

The fourth proportional to 7,446.85, 10,276.58 and 4,089.71 is: 5,643.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,446.85 : 10,276.58 = 4,089.71 : x
  2. Step 2: Convert to fraction form
    7,446.85/10,276.58 = 4,089.71/x
  3. Step 3: Cross multiply
    7,446.85x = 10,276.58 × 4,089.71
  4. Step 4: Simplify right side
    7,446.85x = 42,028,267.91
  5. Step 5: Solve for x
    x = 42,028,267.91/7,446.85
  6. Step 6: Final answer
    x = 5,643.77

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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.