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Finding the Fourth Proportional to 10,752.84, 14,838.08 and 6,036.21

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Solution

The fourth proportional to 10,752.84, 14,838.08 and 6,036.21 is: 8,329.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,752.84 : 14,838.08 = 6,036.21 : x
  2. Step 2: Convert to fraction form
    10,752.84/14,838.08 = 6,036.21/x
  3. Step 3: Cross multiply
    10,752.84x = 14,838.08 × 6,036.21
  4. Step 4: Simplify right side
    10,752.84x = 89,565,736.70
  5. Step 5: Solve for x
    x = 89,565,736.70/10,752.84
  6. Step 6: Final answer
    x = 8,329.50

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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.