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Finding the Fourth Proportional to 11,345.83, 15,657.06 and 6,309.43

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Solution

The fourth proportional to 11,345.83, 15,657.06 and 6,309.43 is: 8,706.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,345.83 : 15,657.06 = 6,309.43 : x
  2. Step 2: Convert to fraction form
    11,345.83/15,657.06 = 6,309.43/x
  3. Step 3: Cross multiply
    11,345.83x = 15,657.06 × 6,309.43
  4. Step 4: Simplify right side
    11,345.83x = 98,787,124.08
  5. Step 5: Solve for x
    x = 98,787,124.08/11,345.83
  6. Step 6: Final answer
    x = 8,706.91

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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.