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Finding the Fourth Proportional to 10,174.58, 14,041.28 and 5,698.74

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Solution

The fourth proportional to 10,174.58, 14,041.28 and 5,698.74 is: 7,864.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,174.58 : 14,041.28 = 5,698.74 : x
  2. Step 2: Convert to fraction form
    10,174.58/14,041.28 = 5,698.74/x
  3. Step 3: Cross multiply
    10,174.58x = 14,041.28 × 5,698.74
  4. Step 4: Simplify right side
    10,174.58x = 80,017,603.99
  5. Step 5: Solve for x
    x = 80,017,603.99/10,174.58
  6. Step 6: Final answer
    x = 7,864.46

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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.