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Finding the Fourth Proportional to 10,645.26, 14,699.70 and 6,673.20

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Solution

The fourth proportional to 10,645.26, 14,699.70 and 6,673.20 is: 9,214.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,645.26 : 14,699.70 = 6,673.20 : x
  2. Step 2: Convert to fraction form
    10,645.26/14,699.70 = 6,673.20/x
  3. Step 3: Cross multiply
    10,645.26x = 14,699.70 × 6,673.20
  4. Step 4: Simplify right side
    10,645.26x = 98,094,038.04
  5. Step 5: Solve for x
    x = 98,094,038.04/10,645.26
  6. Step 6: Final answer
    x = 9,214.81

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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.