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Finding the Fourth Proportional to 10,582.85, 14,604.54 and 5,802.48

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Solution

The fourth proportional to 10,582.85, 14,604.54 and 5,802.48 is: 8,007.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,582.85 : 14,604.54 = 5,802.48 : x
  2. Step 2: Convert to fraction form
    10,582.85/14,604.54 = 5,802.48/x
  3. Step 3: Cross multiply
    10,582.85x = 14,604.54 × 5,802.48
  4. Step 4: Simplify right side
    10,582.85x = 84,742,522.25
  5. Step 5: Solve for x
    x = 84,742,522.25/10,582.85
  6. Step 6: Final answer
    x = 8,007.53

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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.