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Finding the Fourth Proportional to 13,085.75, 18,058.14 and 7,117.28

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Solution

The fourth proportional to 13,085.75, 18,058.14 and 7,117.28 is: 9,821.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,085.75 : 18,058.14 = 7,117.28 : x
  2. Step 2: Convert to fraction form
    13,085.75/18,058.14 = 7,117.28/x
  3. Step 3: Cross multiply
    13,085.75x = 18,058.14 × 7,117.28
  4. Step 4: Simplify right side
    13,085.75x = 128,524,917.66
  5. Step 5: Solve for x
    x = 128,524,917.66/13,085.75
  6. Step 6: Final answer
    x = 9,821.74

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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.