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Finding the Fourth Proportional to 10,564.66, 15,862.56 and 5,893.80

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Solution

The fourth proportional to 10,564.66, 15,862.56 and 5,893.80 is: 8,849.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,564.66 : 15,862.56 = 5,893.80 : x
  2. Step 2: Convert to fraction form
    10,564.66/15,862.56 = 5,893.80/x
  3. Step 3: Cross multiply
    10,564.66x = 15,862.56 × 5,893.80
  4. Step 4: Simplify right side
    10,564.66x = 93,490,756.13
  5. Step 5: Solve for x
    x = 93,490,756.13/10,564.66
  6. Step 6: Final answer
    x = 8,849.39

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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.