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Finding the Fourth Proportional to 10,495.64, 14,484.12 and 5,780.27

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Solution

The fourth proportional to 10,495.64, 14,484.12 and 5,780.27 is: 7,976.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,495.64 : 14,484.12 = 5,780.27 : x
  2. Step 2: Convert to fraction form
    10,495.64/14,484.12 = 5,780.27/x
  3. Step 3: Cross multiply
    10,495.64x = 14,484.12 × 5,780.27
  4. Step 4: Simplify right side
    10,495.64x = 83,722,124.31
  5. Step 5: Solve for x
    x = 83,722,124.31/10,495.64
  6. Step 6: Final answer
    x = 7,976.85

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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.