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Finding the Fourth Proportional to 10,829.59, 14,945.88 and 6,579.72

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Solution

The fourth proportional to 10,829.59, 14,945.88 and 6,579.72 is: 9,080.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,829.59 : 14,945.88 = 6,579.72 : x
  2. Step 2: Convert to fraction form
    10,829.59/14,945.88 = 6,579.72/x
  3. Step 3: Cross multiply
    10,829.59x = 14,945.88 × 6,579.72
  4. Step 4: Simplify right side
    10,829.59x = 98,339,730.23
  5. Step 5: Solve for x
    x = 98,339,730.23/10,829.59
  6. Step 6: Final answer
    x = 9,080.65

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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.