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Finding the Fourth Proportional to 10,484.69, 14,454 and 7,495.31

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Solution

The fourth proportional to 10,484.69, 14,454 and 7,495.31 is: 10,332.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,484.69 : 14,454 = 7,495.31 : x
  2. Step 2: Convert to fraction form
    10,484.69/14,454 = 7,495.31/x
  3. Step 3: Cross multiply
    10,484.69x = 14,454 × 7,495.31
  4. Step 4: Simplify right side
    10,484.69x = 108,337,246.88
  5. Step 5: Solve for x
    x = 108,337,246.88/10,484.69
  6. Step 6: Final answer
    x = 10,332.90

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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.