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Finding the Fourth Proportional to 10,602.94, 15,891.36 and 4,359.06

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Solution

The fourth proportional to 10,602.94, 15,891.36 and 4,359.06 is: 6,533.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602.94 : 15,891.36 = 4,359.06 : x
  2. Step 2: Convert to fraction form
    10,602.94/15,891.36 = 4,359.06/x
  3. Step 3: Cross multiply
    10,602.94x = 15,891.36 × 4,359.06
  4. Step 4: Simplify right side
    10,602.94x = 69,271,391.72
  5. Step 5: Solve for x
    x = 69,271,391.72/10,602.94
  6. Step 6: Final answer
    x = 6,533.22

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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.