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Finding the Fourth Proportional to 10,603.95, 15,904.09 and 3,848.86

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Solution

The fourth proportional to 10,603.95, 15,904.09 and 3,848.86 is: 5,772.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,603.95 : 15,904.09 = 3,848.86 : x
  2. Step 2: Convert to fraction form
    10,603.95/15,904.09 = 3,848.86/x
  3. Step 3: Cross multiply
    10,603.95x = 15,904.09 × 3,848.86
  4. Step 4: Simplify right side
    10,603.95x = 61,212,615.84
  5. Step 5: Solve for x
    x = 61,212,615.84/10,603.95
  6. Step 6: Final answer
    x = 5,772.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.