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Finding the Fourth Proportional to 12,056.30, 16,638.64 and 6,953.46

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Solution

The fourth proportional to 12,056.30, 16,638.64 and 6,953.46 is: 9,596.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,056.30 : 16,638.64 = 6,953.46 : x
  2. Step 2: Convert to fraction form
    12,056.30/16,638.64 = 6,953.46/x
  3. Step 3: Cross multiply
    12,056.30x = 16,638.64 × 6,953.46
  4. Step 4: Simplify right side
    12,056.30x = 115,696,117.69
  5. Step 5: Solve for x
    x = 115,696,117.69/12,056.30
  6. Step 6: Final answer
    x = 9,596.32

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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.