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Finding the Fourth Proportional to 8,303.31, 11,458.63 and 4,946.27

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Solution

The fourth proportional to 8,303.31, 11,458.63 and 4,946.27 is: 6,825.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,303.31 : 11,458.63 = 4,946.27 : x
  2. Step 2: Convert to fraction form
    8,303.31/11,458.63 = 4,946.27/x
  3. Step 3: Cross multiply
    8,303.31x = 11,458.63 × 4,946.27
  4. Step 4: Simplify right side
    8,303.31x = 56,677,477.81
  5. Step 5: Solve for x
    x = 56,677,477.81/8,303.31
  6. Step 6: Final answer
    x = 6,825.89

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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.