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Finding the Fourth Proportional to 10,042.76, 15,051.36 and 4,773.32

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Solution

The fourth proportional to 10,042.76, 15,051.36 and 4,773.32 is: 7,153.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,042.76 : 15,051.36 = 4,773.32 : x
  2. Step 2: Convert to fraction form
    10,042.76/15,051.36 = 4,773.32/x
  3. Step 3: Cross multiply
    10,042.76x = 15,051.36 × 4,773.32
  4. Step 4: Simplify right side
    10,042.76x = 71,844,957.72
  5. Step 5: Solve for x
    x = 71,844,957.72/10,042.76
  6. Step 6: Final answer
    x = 7,153.91

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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.