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Finding the Fourth Proportional to 11,907.47, 16,433.28 and 6,602.18

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Solution

The fourth proportional to 11,907.47, 16,433.28 and 6,602.18 is: 9,111.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,907.47 : 16,433.28 = 6,602.18 : x
  2. Step 2: Convert to fraction form
    11,907.47/16,433.28 = 6,602.18/x
  3. Step 3: Cross multiply
    11,907.47x = 16,433.28 × 6,602.18
  4. Step 4: Simplify right side
    11,907.47x = 108,495,390.38
  5. Step 5: Solve for x
    x = 108,495,390.38/11,907.47
  6. Step 6: Final answer
    x = 9,111.54

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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.