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Finding the Fourth Proportional to 10,649.93, 14,682.57 and 7,458.92

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Solution

The fourth proportional to 10,649.93, 14,682.57 and 7,458.92 is: 10,283.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649.93 : 14,682.57 = 7,458.92 : x
  2. Step 2: Convert to fraction form
    10,649.93/14,682.57 = 7,458.92/x
  3. Step 3: Cross multiply
    10,649.93x = 14,682.57 × 7,458.92
  4. Step 4: Simplify right side
    10,649.93x = 109,516,115.02
  5. Step 5: Solve for x
    x = 109,516,115.02/10,649.93
  6. Step 6: Final answer
    x = 10,283.27

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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.