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Finding the Fourth Proportional to 13,078.64, 18,048.34 and 7,110.16

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Solution

The fourth proportional to 13,078.64, 18,048.34 and 7,110.16 is: 9,811.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,078.64 : 18,048.34 = 7,110.16 : x
  2. Step 2: Convert to fraction form
    13,078.64/18,048.34 = 7,110.16/x
  3. Step 3: Cross multiply
    13,078.64x = 18,048.34 × 7,110.16
  4. Step 4: Simplify right side
    13,078.64x = 128,326,585.13
  5. Step 5: Solve for x
    x = 128,326,585.13/13,078.64
  6. Step 6: Final answer
    x = 9,811.92

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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.