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Finding the Fourth Proportional to 7,663.14, 10,582.04 and 4,835.52

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Solution

The fourth proportional to 7,663.14, 10,582.04 and 4,835.52 is: 6,677.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,663.14 : 10,582.04 = 4,835.52 : x
  2. Step 2: Convert to fraction form
    7,663.14/10,582.04 = 4,835.52/x
  3. Step 3: Cross multiply
    7,663.14x = 10,582.04 × 4,835.52
  4. Step 4: Simplify right side
    7,663.14x = 51,169,678.15
  5. Step 5: Solve for x
    x = 51,169,678.15/7,663.14
  6. Step 6: Final answer
    x = 6,677.38

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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.