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Finding the Fourth Proportional to 10,574.48, 14,592.38 and 5,858.84

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Solution

The fourth proportional to 10,574.48, 14,592.38 and 5,858.84 is: 8,084.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574.48 : 14,592.38 = 5,858.84 : x
  2. Step 2: Convert to fraction form
    10,574.48/14,592.38 = 5,858.84/x
  3. Step 3: Cross multiply
    10,574.48x = 14,592.38 × 5,858.84
  4. Step 4: Simplify right side
    10,574.48x = 85,494,419.64
  5. Step 5: Solve for x
    x = 85,494,419.64/10,574.48
  6. Step 6: Final answer
    x = 8,084.98

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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.