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Finding the Fourth Proportional to 10,562.24, 14,577 and 7,905

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Solution

The fourth proportional to 10,562.24, 14,577 and 7,905 is: 10,909.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,562.24 : 14,577 = 7,905 : x
  2. Step 2: Convert to fraction form
    10,562.24/14,577 = 7,905/x
  3. Step 3: Cross multiply
    10,562.24x = 14,577 × 7,905
  4. Step 4: Simplify right side
    10,562.24x = 115,231,185
  5. Step 5: Solve for x
    x = 115,231,185/10,562.24
  6. Step 6: Final answer
    x = 10,909.73

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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.