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Finding the Fourth Proportional to 6,705.69, 10,013.36 and 5,475.50

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Solution

The fourth proportional to 6,705.69, 10,013.36 and 5,475.50 is: 8,176.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.69 : 10,013.36 = 5,475.50 : x
  2. Step 2: Convert to fraction form
    6,705.69/10,013.36 = 5,475.50/x
  3. Step 3: Cross multiply
    6,705.69x = 10,013.36 × 5,475.50
  4. Step 4: Simplify right side
    6,705.69x = 54,828,075.24
  5. Step 5: Solve for x
    x = 54,828,075.24/6,705.69
  6. Step 6: Final answer
    x = 8,176.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.