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Finding the Fourth Proportional to 10,582.80, 14,602.68 and 5,866.44

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Solution

The fourth proportional to 10,582.80, 14,602.68 and 5,866.44 is: 8,094.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,582.80 : 14,602.68 = 5,866.44 : x
  2. Step 2: Convert to fraction form
    10,582.80/14,602.68 = 5,866.44/x
  3. Step 3: Cross multiply
    10,582.80x = 14,602.68 × 5,866.44
  4. Step 4: Simplify right side
    10,582.80x = 85,665,746.06
  5. Step 5: Solve for x
    x = 85,665,746.06/10,582.80
  6. Step 6: Final answer
    x = 8,094.81

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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.