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Finding the Fourth Proportional to 10,364.60, 14,303.11 and 5,648.87

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Solution

The fourth proportional to 10,364.60, 14,303.11 and 5,648.87 is: 7,795.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,364.60 : 14,303.11 = 5,648.87 : x
  2. Step 2: Convert to fraction form
    10,364.60/14,303.11 = 5,648.87/x
  3. Step 3: Cross multiply
    10,364.60x = 14,303.11 × 5,648.87
  4. Step 4: Simplify right side
    10,364.60x = 80,796,408.99
  5. Step 5: Solve for x
    x = 80,796,408.99/10,364.60
  6. Step 6: Final answer
    x = 7,795.42

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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.