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Finding the Fourth Proportional to 10,798.58, 14,907.58 and 6,823.82

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Solution

The fourth proportional to 10,798.58, 14,907.58 and 6,823.82 is: 9,420.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,798.58 : 14,907.58 = 6,823.82 : x
  2. Step 2: Convert to fraction form
    10,798.58/14,907.58 = 6,823.82/x
  3. Step 3: Cross multiply
    10,798.58x = 14,907.58 × 6,823.82
  4. Step 4: Simplify right side
    10,798.58x = 101,726,642.56
  5. Step 5: Solve for x
    x = 101,726,642.56/10,798.58
  6. Step 6: Final answer
    x = 9,420.37

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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.