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Finding the Fourth Proportional to 10,564, 14,579.34 and 5,848.29

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Solution

The fourth proportional to 10,564, 14,579.34 and 5,848.29 is: 8,071.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,564 : 14,579.34 = 5,848.29 : x
  2. Step 2: Convert to fraction form
    10,564/14,579.34 = 5,848.29/x
  3. Step 3: Cross multiply
    10,564x = 14,579.34 × 5,848.29
  4. Step 4: Simplify right side
    10,564x = 85,264,208.33
  5. Step 5: Solve for x
    x = 85,264,208.33/10,564
  6. Step 6: Final answer
    x = 8,071.20

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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.