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Finding the Fourth Proportional to 10,644.84, 14,689.74 and 5,929.08

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Solution

The fourth proportional to 10,644.84, 14,689.74 and 5,929.08 is: 8,182.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,644.84 : 14,689.74 = 5,929.08 : x
  2. Step 2: Convert to fraction form
    10,644.84/14,689.74 = 5,929.08/x
  3. Step 3: Cross multiply
    10,644.84x = 14,689.74 × 5,929.08
  4. Step 4: Simplify right side
    10,644.84x = 87,096,643.64
  5. Step 5: Solve for x
    x = 87,096,643.64/10,644.84
  6. Step 6: Final answer
    x = 8,182.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.