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Finding the Fourth Proportional to 10,049.94, 13,869.28 and 7,527.60

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Solution

The fourth proportional to 10,049.94, 13,869.28 and 7,527.60 is: 10,388.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,049.94 : 13,869.28 = 7,527.60 : x
  2. Step 2: Convert to fraction form
    10,049.94/13,869.28 = 7,527.60/x
  3. Step 3: Cross multiply
    10,049.94x = 13,869.28 × 7,527.60
  4. Step 4: Simplify right side
    10,049.94x = 104,402,392.13
  5. Step 5: Solve for x
    x = 104,402,392.13/10,049.94
  6. Step 6: Final answer
    x = 10,388.36

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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.