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Finding the Fourth Proportional to 10,494.93, 14,458.37 and 7,302.74

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Solution

The fourth proportional to 10,494.93, 14,458.37 and 7,302.74 is: 10,060.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494.93 : 14,458.37 = 7,302.74 : x
  2. Step 2: Convert to fraction form
    10,494.93/14,458.37 = 7,302.74/x
  3. Step 3: Cross multiply
    10,494.93x = 14,458.37 × 7,302.74
  4. Step 4: Simplify right side
    10,494.93x = 105,585,716.57
  5. Step 5: Solve for x
    x = 105,585,716.57/10,494.93
  6. Step 6: Final answer
    x = 10,060.64

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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.