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Finding the Fourth Proportional to 10,582.70, 14,604.32 and 5,802.55

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Solution

The fourth proportional to 10,582.70, 14,604.32 and 5,802.55 is: 8,007.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,582.70 : 14,604.32 = 5,802.55 : x
  2. Step 2: Convert to fraction form
    10,582.70/14,604.32 = 5,802.55/x
  3. Step 3: Cross multiply
    10,582.70x = 14,604.32 × 5,802.55
  4. Step 4: Simplify right side
    10,582.70x = 84,742,324.52
  5. Step 5: Solve for x
    x = 84,742,324.52/10,582.70
  6. Step 6: Final answer
    x = 8,007.63

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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.