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Finding the Fourth Proportional to 7,070.32, 9,752.73 and 5,083.57

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Solution

The fourth proportional to 7,070.32, 9,752.73 and 5,083.57 is: 7,012.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,070.32 : 9,752.73 = 5,083.57 : x
  2. Step 2: Convert to fraction form
    7,070.32/9,752.73 = 5,083.57/x
  3. Step 3: Cross multiply
    7,070.32x = 9,752.73 × 5,083.57
  4. Step 4: Simplify right side
    7,070.32x = 49,578,685.65
  5. Step 5: Solve for x
    x = 49,578,685.65/7,070.32
  6. Step 6: Final answer
    x = 7,012.23

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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.