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Finding the Fourth Proportional to 10,473.40, 14,446.86 and 7,484.07

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Solution

The fourth proportional to 10,473.40, 14,446.86 and 7,484.07 is: 10,323.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,473.40 : 14,446.86 = 7,484.07 : x
  2. Step 2: Convert to fraction form
    10,473.40/14,446.86 = 7,484.07/x
  3. Step 3: Cross multiply
    10,473.40x = 14,446.86 × 7,484.07
  4. Step 4: Simplify right side
    10,473.40x = 108,121,311.52
  5. Step 5: Solve for x
    x = 108,121,311.52/10,473.40
  6. Step 6: Final answer
    x = 10,323.42

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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.