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Finding the Fourth Proportional to 10,403.80, 14,357.22 and 5,688.07

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Solution

The fourth proportional to 10,403.80, 14,357.22 and 5,688.07 is: 7,849.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,403.80 : 14,357.22 = 5,688.07 : x
  2. Step 2: Convert to fraction form
    10,403.80/14,357.22 = 5,688.07/x
  3. Step 3: Cross multiply
    10,403.80x = 14,357.22 × 5,688.07
  4. Step 4: Simplify right side
    10,403.80x = 81,664,872.37
  5. Step 5: Solve for x
    x = 81,664,872.37/10,403.80
  6. Step 6: Final answer
    x = 7,849.52

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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.