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Finding the Fourth Proportional to 10,488.15, 15,699.42 and 7,840.26

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Solution

The fourth proportional to 10,488.15, 15,699.42 and 7,840.26 is: 11,735.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,488.15 : 15,699.42 = 7,840.26 : x
  2. Step 2: Convert to fraction form
    10,488.15/15,699.42 = 7,840.26/x
  3. Step 3: Cross multiply
    10,488.15x = 15,699.42 × 7,840.26
  4. Step 4: Simplify right side
    10,488.15x = 123,087,534.65
  5. Step 5: Solve for x
    x = 123,087,534.65/10,488.15
  6. Step 6: Final answer
    x = 11,735.87

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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.