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Finding the Fourth Proportional to 12,088.80, 16,684.65 and 7,056

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Solution

The fourth proportional to 12,088.80, 16,684.65 and 7,056 is: 9,738.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,088.80 : 16,684.65 = 7,056 : x
  2. Step 2: Convert to fraction form
    12,088.80/16,684.65 = 7,056/x
  3. Step 3: Cross multiply
    12,088.80x = 16,684.65 × 7,056
  4. Step 4: Simplify right side
    12,088.80x = 117,726,890.40
  5. Step 5: Solve for x
    x = 117,726,890.40/12,088.80
  6. Step 6: Final answer
    x = 9,738.51

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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.