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Finding the Fourth Proportional to 7,544.69, 10,412.91 and 4,188.59

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Solution

The fourth proportional to 7,544.69, 10,412.91 and 4,188.59 is: 5,780.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,544.69 : 10,412.91 = 4,188.59 : x
  2. Step 2: Convert to fraction form
    7,544.69/10,412.91 = 4,188.59/x
  3. Step 3: Cross multiply
    7,544.69x = 10,412.91 × 4,188.59
  4. Step 4: Simplify right side
    7,544.69x = 43,615,358.63
  5. Step 5: Solve for x
    x = 43,615,358.63/7,544.69
  6. Step 6: Final answer
    x = 5,780.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.