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Finding the Fourth Proportional to 10,639.53, 14,678.74 and 6,160.84

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Solution

The fourth proportional to 10,639.53, 14,678.74 and 6,160.84 is: 8,499.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,639.53 : 14,678.74 = 6,160.84 : x
  2. Step 2: Convert to fraction form
    10,639.53/14,678.74 = 6,160.84/x
  3. Step 3: Cross multiply
    10,639.53x = 14,678.74 × 6,160.84
  4. Step 4: Simplify right side
    10,639.53x = 90,433,368.54
  5. Step 5: Solve for x
    x = 90,433,368.54/10,639.53
  6. Step 6: Final answer
    x = 8,499.75

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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.