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Finding the Fourth Proportional to 7,010.50, 10,515.75 and 2,852.77

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Solution

The fourth proportional to 7,010.50, 10,515.75 and 2,852.77 is: 4,279.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,010.50 : 10,515.75 = 2,852.77 : x
  2. Step 2: Convert to fraction form
    7,010.50/10,515.75 = 2,852.77/x
  3. Step 3: Cross multiply
    7,010.50x = 10,515.75 × 2,852.77
  4. Step 4: Simplify right side
    7,010.50x = 29,999,016.13
  5. Step 5: Solve for x
    x = 29,999,016.13/7,010.50
  6. Step 6: Final answer
    x = 4,279.16

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Why These Related Problems?

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