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Finding the Fourth Proportional to 12,497.58, 17,248.56 and 7,783.38

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Solution

The fourth proportional to 12,497.58, 17,248.56 and 7,783.38 is: 10,742.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,497.58 : 17,248.56 = 7,783.38 : x
  2. Step 2: Convert to fraction form
    12,497.58/17,248.56 = 7,783.38/x
  3. Step 3: Cross multiply
    12,497.58x = 17,248.56 × 7,783.38
  4. Step 4: Simplify right side
    12,497.58x = 134,252,096.93
  5. Step 5: Solve for x
    x = 134,252,096.93/12,497.58
  6. Step 6: Final answer
    x = 10,742.25

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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.