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Finding the Fourth Proportional to 12,211.64, 16,852.88 and 6,904.52

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Solution

The fourth proportional to 12,211.64, 16,852.88 and 6,904.52 is: 9,528.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,211.64 : 16,852.88 = 6,904.52 : x
  2. Step 2: Convert to fraction form
    12,211.64/16,852.88 = 6,904.52/x
  3. Step 3: Cross multiply
    12,211.64x = 16,852.88 × 6,904.52
  4. Step 4: Simplify right side
    12,211.64x = 116,361,047.02
  5. Step 5: Solve for x
    x = 116,361,047.02/12,211.64
  6. Step 6: Final answer
    x = 9,528.70

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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.