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Finding the Fourth Proportional to 11,307.63, 15,593.42 and 10,413.69

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Solution

The fourth proportional to 11,307.63, 15,593.42 and 10,413.69 is: 14,360.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,307.63 : 15,593.42 = 10,413.69 : x
  2. Step 2: Convert to fraction form
    11,307.63/15,593.42 = 10,413.69/x
  3. Step 3: Cross multiply
    11,307.63x = 15,593.42 × 10,413.69
  4. Step 4: Simplify right side
    11,307.63x = 162,385,041.92
  5. Step 5: Solve for x
    x = 162,385,041.92/11,307.63
  6. Step 6: Final answer
    x = 14,360.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.