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Finding the Fourth Proportional to 7,838.48, 10,811.40 and 5,188.16

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Solution

The fourth proportional to 7,838.48, 10,811.40 and 5,188.16 is: 7,155.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.48 : 10,811.40 = 5,188.16 : x
  2. Step 2: Convert to fraction form
    7,838.48/10,811.40 = 5,188.16/x
  3. Step 3: Cross multiply
    7,838.48x = 10,811.40 × 5,188.16
  4. Step 4: Simplify right side
    7,838.48x = 56,091,273.02
  5. Step 5: Solve for x
    x = 56,091,273.02/7,838.48
  6. Step 6: Final answer
    x = 7,155.89

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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.