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Finding the Fourth Proportional to 7,033.84, 10,547.35 and 2,872.19

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Solution

The fourth proportional to 7,033.84, 10,547.35 and 2,872.19 is: 4,306.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,033.84 : 10,547.35 = 2,872.19 : x
  2. Step 2: Convert to fraction form
    7,033.84/10,547.35 = 2,872.19/x
  3. Step 3: Cross multiply
    7,033.84x = 10,547.35 × 2,872.19
  4. Step 4: Simplify right side
    7,033.84x = 30,294,012.38
  5. Step 5: Solve for x
    x = 30,294,012.38/7,033.84
  6. Step 6: Final answer
    x = 4,306.90

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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.