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Finding the Fourth Proportional to 12,088.36, 16,683.06 and 7,054.12

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Solution

The fourth proportional to 12,088.36, 16,683.06 and 7,054.12 is: 9,735.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,088.36 : 16,683.06 = 7,054.12 : x
  2. Step 2: Convert to fraction form
    12,088.36/16,683.06 = 7,054.12/x
  3. Step 3: Cross multiply
    12,088.36x = 16,683.06 × 7,054.12
  4. Step 4: Simplify right side
    12,088.36x = 117,684,307.21
  5. Step 5: Solve for x
    x = 117,684,307.21/12,088.36
  6. Step 6: Final answer
    x = 9,735.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.