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Finding the Fourth Proportional to 8,303.31, 12,378.42 and 7,887.78

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Solution

The fourth proportional to 8,303.31, 12,378.42 and 7,887.78 is: 11,758.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,303.31 : 12,378.42 = 7,887.78 : x
  2. Step 2: Convert to fraction form
    8,303.31/12,378.42 = 7,887.78/x
  3. Step 3: Cross multiply
    8,303.31x = 12,378.42 × 7,887.78
  4. Step 4: Simplify right side
    8,303.31x = 97,638,253.71
  5. Step 5: Solve for x
    x = 97,638,253.71/8,303.31
  6. Step 6: Final answer
    x = 11,758.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.