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Finding the Fourth Proportional to 11,413.65, 15,758.61 and 7,390.20

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Solution

The fourth proportional to 11,413.65, 15,758.61 and 7,390.20 is: 10,203.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,413.65 : 15,758.61 = 7,390.20 : x
  2. Step 2: Convert to fraction form
    11,413.65/15,758.61 = 7,390.20/x
  3. Step 3: Cross multiply
    11,413.65x = 15,758.61 × 7,390.20
  4. Step 4: Simplify right side
    11,413.65x = 116,459,279.62
  5. Step 5: Solve for x
    x = 116,459,279.62/11,413.65
  6. Step 6: Final answer
    x = 10,203.51

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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.