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Finding the Fourth Proportional to 11,345.77, 15,657.33 and 6,310.54

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Solution

The fourth proportional to 11,345.77, 15,657.33 and 6,310.54 is: 8,708.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,345.77 : 15,657.33 = 6,310.54 : x
  2. Step 2: Convert to fraction form
    11,345.77/15,657.33 = 6,310.54/x
  3. Step 3: Cross multiply
    11,345.77x = 15,657.33 × 6,310.54
  4. Step 4: Simplify right side
    11,345.77x = 98,806,207.26
  5. Step 5: Solve for x
    x = 98,806,207.26/11,345.77
  6. Step 6: Final answer
    x = 8,708.64

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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.