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Finding the Fourth Proportional to 12,885.84, 17,785.98 and 7,582.38

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Solution

The fourth proportional to 12,885.84, 17,785.98 and 7,582.38 is: 10,465.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,885.84 : 17,785.98 = 7,582.38 : x
  2. Step 2: Convert to fraction form
    12,885.84/17,785.98 = 7,582.38/x
  3. Step 3: Cross multiply
    12,885.84x = 17,785.98 × 7,582.38
  4. Step 4: Simplify right side
    12,885.84x = 134,860,059.03
  5. Step 5: Solve for x
    x = 134,860,059.03/12,885.84
  6. Step 6: Final answer
    x = 10,465.76

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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.