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Finding the Fourth Proportional to 10,090.32, 13,901.94 and 7,568.49

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Solution

The fourth proportional to 10,090.32, 13,901.94 and 7,568.49 is: 10,427.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,090.32 : 13,901.94 = 7,568.49 : x
  2. Step 2: Convert to fraction form
    10,090.32/13,901.94 = 7,568.49/x
  3. Step 3: Cross multiply
    10,090.32x = 13,901.94 × 7,568.49
  4. Step 4: Simplify right side
    10,090.32x = 105,216,693.87
  5. Step 5: Solve for x
    x = 105,216,693.87/10,090.32
  6. Step 6: Final answer
    x = 10,427.49

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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.