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Finding the Fourth Proportional to 10,473.86, 14,454.70 and 5,758.22

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Solution

The fourth proportional to 10,473.86, 14,454.70 and 5,758.22 is: 7,946.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,473.86 : 14,454.70 = 5,758.22 : x
  2. Step 2: Convert to fraction form
    10,473.86/14,454.70 = 5,758.22/x
  3. Step 3: Cross multiply
    10,473.86x = 14,454.70 × 5,758.22
  4. Step 4: Simplify right side
    10,473.86x = 83,233,342.63
  5. Step 5: Solve for x
    x = 83,233,342.63/10,473.86
  6. Step 6: Final answer
    x = 7,946.77

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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.