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Finding the Fourth Proportional to 7,413.83, 10,231.04 and 4,056.58

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Solution

The fourth proportional to 7,413.83, 10,231.04 and 4,056.58 is: 5,598.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,413.83 : 10,231.04 = 4,056.58 : x
  2. Step 2: Convert to fraction form
    7,413.83/10,231.04 = 4,056.58/x
  3. Step 3: Cross multiply
    7,413.83x = 10,231.04 × 4,056.58
  4. Step 4: Simplify right side
    7,413.83x = 41,502,986.38
  5. Step 5: Solve for x
    x = 41,502,986.38/7,413.83
  6. Step 6: Final answer
    x = 5,598.05

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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.