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Finding the Fourth Proportional to 10,524.74, 15,787.15 and 6,619.46

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Solution

The fourth proportional to 10,524.74, 15,787.15 and 6,619.46 is: 9,929.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524.74 : 15,787.15 = 6,619.46 : x
  2. Step 2: Convert to fraction form
    10,524.74/15,787.15 = 6,619.46/x
  3. Step 3: Cross multiply
    10,524.74x = 15,787.15 × 6,619.46
  4. Step 4: Simplify right side
    10,524.74x = 104,502,407.94
  5. Step 5: Solve for x
    x = 104,502,407.94/10,524.74
  6. Step 6: Final answer
    x = 9,929.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.