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Finding the Fourth Proportional to 10,463.01, 14,448.33 and 7,805.81

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Solution

The fourth proportional to 10,463.01, 14,448.33 and 7,805.81 is: 10,779.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,463.01 : 14,448.33 = 7,805.81 : x
  2. Step 2: Convert to fraction form
    10,463.01/14,448.33 = 7,805.81/x
  3. Step 3: Cross multiply
    10,463.01x = 14,448.33 × 7,805.81
  4. Step 4: Simplify right side
    10,463.01x = 112,780,846.56
  5. Step 5: Solve for x
    x = 112,780,846.56/10,463.01
  6. Step 6: Final answer
    x = 10,779.01

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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.