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Finding the Fourth Proportional to 10,582.20, 14,602.85 and 5,802.14

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Solution

The fourth proportional to 10,582.20, 14,602.85 and 5,802.14 is: 8,006.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,582.20 : 14,602.85 = 5,802.14 : x
  2. Step 2: Convert to fraction form
    10,582.20/14,602.85 = 5,802.14/x
  3. Step 3: Cross multiply
    10,582.20x = 14,602.85 × 5,802.14
  4. Step 4: Simplify right side
    10,582.20x = 84,727,780.10
  5. Step 5: Solve for x
    x = 84,727,780.10/10,582.20
  6. Step 6: Final answer
    x = 8,006.63

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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.