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Finding the Fourth Proportional to 10,075.86, 13,904.46 and 5,826.60

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Solution

The fourth proportional to 10,075.86, 13,904.46 and 5,826.60 is: 8,040.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,075.86 : 13,904.46 = 5,826.60 : x
  2. Step 2: Convert to fraction form
    10,075.86/13,904.46 = 5,826.60/x
  3. Step 3: Cross multiply
    10,075.86x = 13,904.46 × 5,826.60
  4. Step 4: Simplify right side
    10,075.86x = 81,015,726.64
  5. Step 5: Solve for x
    x = 81,015,726.64/10,075.86
  6. Step 6: Final answer
    x = 8,040.58

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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.