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Finding the Fourth Proportional to 10,602.63, 15,890.88 and 4,358.75

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Solution

The fourth proportional to 10,602.63, 15,890.88 and 4,358.75 is: 6,532.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602.63 : 15,890.88 = 4,358.75 : x
  2. Step 2: Convert to fraction form
    10,602.63/15,890.88 = 4,358.75/x
  3. Step 3: Cross multiply
    10,602.63x = 15,890.88 × 4,358.75
  4. Step 4: Simplify right side
    10,602.63x = 69,264,310.09
  5. Step 5: Solve for x
    x = 69,264,310.09/10,602.63
  6. Step 6: Final answer
    x = 6,532.75

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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.