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Finding the Fourth Proportional to 11,130.12, 15,357.65 and 6,413.49

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Solution

The fourth proportional to 11,130.12, 15,357.65 and 6,413.49 is: 8,849.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,130.12 : 15,357.65 = 6,413.49 : x
  2. Step 2: Convert to fraction form
    11,130.12/15,357.65 = 6,413.49/x
  3. Step 3: Cross multiply
    11,130.12x = 15,357.65 × 6,413.49
  4. Step 4: Simplify right side
    11,130.12x = 98,496,102.63
  5. Step 5: Solve for x
    x = 98,496,102.63/11,130.12
  6. Step 6: Final answer
    x = 8,849.51

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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.