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Finding the Fourth Proportional to 10,415.24, 14,377.78 and 6,643.58

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Solution

The fourth proportional to 10,415.24, 14,377.78 and 6,643.58 is: 9,171.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415.24 : 14,377.78 = 6,643.58 : x
  2. Step 2: Convert to fraction form
    10,415.24/14,377.78 = 6,643.58/x
  3. Step 3: Cross multiply
    10,415.24x = 14,377.78 × 6,643.58
  4. Step 4: Simplify right side
    10,415.24x = 95,519,931.65
  5. Step 5: Solve for x
    x = 95,519,931.65/10,415.24
  6. Step 6: Final answer
    x = 9,171.17

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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.