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Finding the Fourth Proportional to 10,730.72, 14,804.89 and 6,253.45

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Solution

The fourth proportional to 10,730.72, 14,804.89 and 6,253.45 is: 8,627.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,730.72 : 14,804.89 = 6,253.45 : x
  2. Step 2: Convert to fraction form
    10,730.72/14,804.89 = 6,253.45/x
  3. Step 3: Cross multiply
    10,730.72x = 14,804.89 × 6,253.45
  4. Step 4: Simplify right side
    10,730.72x = 92,581,639.37
  5. Step 5: Solve for x
    x = 92,581,639.37/10,730.72
  6. Step 6: Final answer
    x = 8,627.72

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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.