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Finding the Fourth Proportional to 10,295.72, 14,208.14 and 5,580

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Solution

The fourth proportional to 10,295.72, 14,208.14 and 5,580 is: 7,700.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,295.72 : 14,208.14 = 5,580 : x
  2. Step 2: Convert to fraction form
    10,295.72/14,208.14 = 5,580/x
  3. Step 3: Cross multiply
    10,295.72x = 14,208.14 × 5,580
  4. Step 4: Simplify right side
    10,295.72x = 79,281,435.15
  5. Step 5: Solve for x
    x = 79,281,435.15/10,295.72
  6. Step 6: Final answer
    x = 7,700.43

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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.