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Finding the Fourth Proportional to 7,651.84, 10,559.64 and 4,295.38

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Solution

The fourth proportional to 7,651.84, 10,559.64 and 4,295.38 is: 5,927.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,651.84 : 10,559.64 = 4,295.38 : x
  2. Step 2: Convert to fraction form
    7,651.84/10,559.64 = 4,295.38/x
  3. Step 3: Cross multiply
    7,651.84x = 10,559.64 × 4,295.38
  4. Step 4: Simplify right side
    7,651.84x = 45,357,666.46
  5. Step 5: Solve for x
    x = 45,357,666.46/7,651.84
  6. Step 6: Final answer
    x = 5,927.68

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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.