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Finding the Fourth Proportional to 10,074.93, 13,903.34 and 5,598.81

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Solution

The fourth proportional to 10,074.93, 13,903.34 and 5,598.81 is: 7,726.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,074.93 : 13,903.34 = 5,598.81 : x
  2. Step 2: Convert to fraction form
    10,074.93/13,903.34 = 5,598.81/x
  3. Step 3: Cross multiply
    10,074.93x = 13,903.34 × 5,598.81
  4. Step 4: Simplify right side
    10,074.93x = 77,842,131.03
  5. Step 5: Solve for x
    x = 77,842,131.03/10,074.93
  6. Step 6: Final answer
    x = 7,726.32

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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.