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Finding the Fourth Proportional to 10,365.62, 14,293.25 and 7,002.59

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Solution

The fourth proportional to 10,365.62, 14,293.25 and 7,002.59 is: 9,655.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,365.62 : 14,293.25 = 7,002.59 : x
  2. Step 2: Convert to fraction form
    10,365.62/14,293.25 = 7,002.59/x
  3. Step 3: Cross multiply
    10,365.62x = 14,293.25 × 7,002.59
  4. Step 4: Simplify right side
    10,365.62x = 100,089,769.52
  5. Step 5: Solve for x
    x = 100,089,769.52/10,365.62
  6. Step 6: Final answer
    x = 9,655.94

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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.