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Finding the Fourth Proportional to 7,561.63, 11,330.77 and 4,052.10

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Solution

The fourth proportional to 7,561.63, 11,330.77 and 4,052.10 is: 6,071.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,561.63 : 11,330.77 = 4,052.10 : x
  2. Step 2: Convert to fraction form
    7,561.63/11,330.77 = 4,052.10/x
  3. Step 3: Cross multiply
    7,561.63x = 11,330.77 × 4,052.10
  4. Step 4: Simplify right side
    7,561.63x = 45,913,413.12
  5. Step 5: Solve for x
    x = 45,913,413.12/7,561.63
  6. Step 6: Final answer
    x = 6,071.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.