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Finding the Fourth Proportional to 10,047.64, 13,865.68 and 5,571.40

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Solution

The fourth proportional to 10,047.64, 13,865.68 and 5,571.40 is: 7,688.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,047.64 : 13,865.68 = 5,571.40 : x
  2. Step 2: Convert to fraction form
    10,047.64/13,865.68 = 5,571.40/x
  3. Step 3: Cross multiply
    10,047.64x = 13,865.68 × 5,571.40
  4. Step 4: Simplify right side
    10,047.64x = 77,251,152.37
  5. Step 5: Solve for x
    x = 77,251,152.37/10,047.64
  6. Step 6: Final answer
    x = 7,688.49

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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.