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Finding the Fourth Proportional to 13,078.32, 18,047.76 and 7,110

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Solution

The fourth proportional to 13,078.32, 18,047.76 and 7,110 is: 9,811.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,078.32 : 18,047.76 = 7,110 : x
  2. Step 2: Convert to fraction form
    13,078.32/18,047.76 = 7,110/x
  3. Step 3: Cross multiply
    13,078.32x = 18,047.76 × 7,110
  4. Step 4: Simplify right side
    13,078.32x = 128,319,573.60
  5. Step 5: Solve for x
    x = 128,319,573.60/13,078.32
  6. Step 6: Final answer
    x = 9,811.63

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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.