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Finding the Fourth Proportional to 10,467.84, 14,445.70 and 5,752.20

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Solution

The fourth proportional to 10,467.84, 14,445.70 and 5,752.20 is: 7,938.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,467.84 : 14,445.70 = 5,752.20 : x
  2. Step 2: Convert to fraction form
    10,467.84/14,445.70 = 5,752.20/x
  3. Step 3: Cross multiply
    10,467.84x = 14,445.70 × 5,752.20
  4. Step 4: Simplify right side
    10,467.84x = 83,094,555.54
  5. Step 5: Solve for x
    x = 83,094,555.54/10,467.84
  6. Step 6: Final answer
    x = 7,938.08

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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.