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Finding the Fourth Proportional to 6,706.33, 10,052.27 and 4,368.06

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Solution

The fourth proportional to 6,706.33, 10,052.27 and 4,368.06 is: 6,547.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.33 : 10,052.27 = 4,368.06 : x
  2. Step 2: Convert to fraction form
    6,706.33/10,052.27 = 4,368.06/x
  3. Step 3: Cross multiply
    6,706.33x = 10,052.27 × 4,368.06
  4. Step 4: Simplify right side
    6,706.33x = 43,908,913.04
  5. Step 5: Solve for x
    x = 43,908,913.04/6,706.33
  6. Step 6: Final answer
    x = 6,547.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.