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Finding the Fourth Proportional to 12,413.83, 17,130.38 and 6,748.53

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Solution

The fourth proportional to 12,413.83, 17,130.38 and 6,748.53 is: 9,312.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,413.83 : 17,130.38 = 6,748.53 : x
  2. Step 2: Convert to fraction form
    12,413.83/17,130.38 = 6,748.53/x
  3. Step 3: Cross multiply
    12,413.83x = 17,130.38 × 6,748.53
  4. Step 4: Simplify right side
    12,413.83x = 115,604,881.72
  5. Step 5: Solve for x
    x = 115,604,881.72/12,413.83
  6. Step 6: Final answer
    x = 9,312.59

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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.