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Finding the Fourth Proportional to 7,758.82, 10,705.35 and 4,400.86

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Solution

The fourth proportional to 7,758.82, 10,705.35 and 4,400.86 is: 6,072.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.82 : 10,705.35 = 4,400.86 : x
  2. Step 2: Convert to fraction form
    7,758.82/10,705.35 = 4,400.86/x
  3. Step 3: Cross multiply
    7,758.82x = 10,705.35 × 4,400.86
  4. Step 4: Simplify right side
    7,758.82x = 47,112,746.60
  5. Step 5: Solve for x
    x = 47,112,746.60/7,758.82
  6. Step 6: Final answer
    x = 6,072.15

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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.