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Finding the Fourth Proportional to 10,308.69, 14,225.94 and 5,592.96

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Solution

The fourth proportional to 10,308.69, 14,225.94 and 5,592.96 is: 7,718.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,308.69 : 14,225.94 = 5,592.96 : x
  2. Step 2: Convert to fraction form
    10,308.69/14,225.94 = 5,592.96/x
  3. Step 3: Cross multiply
    10,308.69x = 14,225.94 × 5,592.96
  4. Step 4: Simplify right side
    10,308.69x = 79,565,113.38
  5. Step 5: Solve for x
    x = 79,565,113.38/10,308.69
  6. Step 6: Final answer
    x = 7,718.26

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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.