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Finding the Fourth Proportional to 10,590.46, 15,881.64 and 5,039.53

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Solution

The fourth proportional to 10,590.46, 15,881.64 and 5,039.53 is: 7,557.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,590.46 : 15,881.64 = 5,039.53 : x
  2. Step 2: Convert to fraction form
    10,590.46/15,881.64 = 5,039.53/x
  3. Step 3: Cross multiply
    10,590.46x = 15,881.64 × 5,039.53
  4. Step 4: Simplify right side
    10,590.46x = 80,036,001.23
  5. Step 5: Solve for x
    x = 80,036,001.23/10,590.46
  6. Step 6: Final answer
    x = 7,557.37

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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.