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Finding the Fourth Proportional to 10,582.42, 14,602.68 and 6,332.62

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Solution

The fourth proportional to 10,582.42, 14,602.68 and 6,332.62 is: 8,738.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,582.42 : 14,602.68 = 6,332.62 : x
  2. Step 2: Convert to fraction form
    10,582.42/14,602.68 = 6,332.62/x
  3. Step 3: Cross multiply
    10,582.42x = 14,602.68 × 6,332.62
  4. Step 4: Simplify right side
    10,582.42x = 92,473,223.42
  5. Step 5: Solve for x
    x = 92,473,223.42/10,582.42
  6. Step 6: Final answer
    x = 8,738.38

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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.