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Finding the Fourth Proportional to 10,505.84, 14,498.53 and 6,029.24

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Solution

The fourth proportional to 10,505.84, 14,498.53 and 6,029.24 is: 8,320.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505.84 : 14,498.53 = 6,029.24 : x
  2. Step 2: Convert to fraction form
    10,505.84/14,498.53 = 6,029.24/x
  3. Step 3: Cross multiply
    10,505.84x = 14,498.53 × 6,029.24
  4. Step 4: Simplify right side
    10,505.84x = 87,415,029.45
  5. Step 5: Solve for x
    x = 87,415,029.45/10,505.84
  6. Step 6: Final answer
    x = 8,320.62

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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.