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Finding the Fourth Proportional to 7,758.13, 10,705.83 and 4,400.87

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Solution

The fourth proportional to 7,758.13, 10,705.83 and 4,400.87 is: 6,072.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.13 : 10,705.83 = 4,400.87 : x
  2. Step 2: Convert to fraction form
    7,758.13/10,705.83 = 4,400.87/x
  3. Step 3: Cross multiply
    7,758.13x = 10,705.83 × 4,400.87
  4. Step 4: Simplify right side
    7,758.13x = 47,114,962.17
  5. Step 5: Solve for x
    x = 47,114,962.17/7,758.13
  6. Step 6: Final answer
    x = 6,072.98

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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.