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Finding the Fourth Proportional to 10,458.44, 14,432.64 and 5,743.02

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Solution

The fourth proportional to 10,458.44, 14,432.64 and 5,743.02 is: 7,925.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,458.44 : 14,432.64 = 5,743.02 : x
  2. Step 2: Convert to fraction form
    10,458.44/14,432.64 = 5,743.02/x
  3. Step 3: Cross multiply
    10,458.44x = 14,432.64 × 5,743.02
  4. Step 4: Simplify right side
    10,458.44x = 82,886,940.17
  5. Step 5: Solve for x
    x = 82,886,940.17/10,458.44
  6. Step 6: Final answer
    x = 7,925.36

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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.