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Finding the Fourth Proportional to 7,825.83, 10,801.53 and 5,312.13

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Solution

The fourth proportional to 7,825.83, 10,801.53 and 5,312.13 is: 7,332.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,825.83 : 10,801.53 = 5,312.13 : x
  2. Step 2: Convert to fraction form
    7,825.83/10,801.53 = 5,312.13/x
  3. Step 3: Cross multiply
    7,825.83x = 10,801.53 × 5,312.13
  4. Step 4: Simplify right side
    7,825.83x = 57,379,131.56
  5. Step 5: Solve for x
    x = 57,379,131.56/7,825.83
  6. Step 6: Final answer
    x = 7,332.02

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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.