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Finding the Fourth Proportional to 10,582.88, 14,604.28 and 5,803.10

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Solution

The fourth proportional to 10,582.88, 14,604.28 and 5,803.10 is: 8,008.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,582.88 : 14,604.28 = 5,803.10 : x
  2. Step 2: Convert to fraction form
    10,582.88/14,604.28 = 5,803.10/x
  3. Step 3: Cross multiply
    10,582.88x = 14,604.28 × 5,803.10
  4. Step 4: Simplify right side
    10,582.88x = 84,750,009.74
  5. Step 5: Solve for x
    x = 84,750,009.74/10,582.88
  6. Step 6: Final answer
    x = 8,008.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.