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Finding the Fourth Proportional to 10,804.19, 14,889.42 and 7,814.95

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Solution

The fourth proportional to 10,804.19, 14,889.42 and 7,814.95 is: 10,769.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,804.19 : 14,889.42 = 7,814.95 : x
  2. Step 2: Convert to fraction form
    10,804.19/14,889.42 = 7,814.95/x
  3. Step 3: Cross multiply
    10,804.19x = 14,889.42 × 7,814.95
  4. Step 4: Simplify right side
    10,804.19x = 116,360,035.61
  5. Step 5: Solve for x
    x = 116,360,035.61/10,804.19
  6. Step 6: Final answer
    x = 10,769.90

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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.