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Finding the Fourth Proportional to 10,411.90, 15,621.90 and 4,564.39

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Solution

The fourth proportional to 10,411.90, 15,621.90 and 4,564.39 is: 6,848.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,411.90 : 15,621.90 = 4,564.39 : x
  2. Step 2: Convert to fraction form
    10,411.90/15,621.90 = 4,564.39/x
  3. Step 3: Cross multiply
    10,411.90x = 15,621.90 × 4,564.39
  4. Step 4: Simplify right side
    10,411.90x = 71,304,444.14
  5. Step 5: Solve for x
    x = 71,304,444.14/10,411.90
  6. Step 6: Final answer
    x = 6,848.36

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Why These Related Problems?

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