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Finding the Fourth Proportional to 10,397.86, 14,352.47 and 8,277.28

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Solution

The fourth proportional to 10,397.86, 14,352.47 and 8,277.28 is: 11,425.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,397.86 : 14,352.47 = 8,277.28 : x
  2. Step 2: Convert to fraction form
    10,397.86/14,352.47 = 8,277.28/x
  3. Step 3: Cross multiply
    10,397.86x = 14,352.47 × 8,277.28
  4. Step 4: Simplify right side
    10,397.86x = 118,799,412.88
  5. Step 5: Solve for x
    x = 118,799,412.88/10,397.86
  6. Step 6: Final answer
    x = 11,425.37

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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.