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Finding the Fourth Proportional to 10,438.83, 14,405.49 and 5,723.01

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Solution

The fourth proportional to 10,438.83, 14,405.49 and 5,723.01 is: 7,897.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,438.83 : 14,405.49 = 5,723.01 : x
  2. Step 2: Convert to fraction form
    10,438.83/14,405.49 = 5,723.01/x
  3. Step 3: Cross multiply
    10,438.83x = 14,405.49 × 5,723.01
  4. Step 4: Simplify right side
    10,438.83x = 82,442,763.32
  5. Step 5: Solve for x
    x = 82,442,763.32/10,438.83
  6. Step 6: Final answer
    x = 7,897.70

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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.