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Finding the Fourth Proportional to 11,752.48, 16,214.34 and 7,038.28

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Solution

The fourth proportional to 11,752.48, 16,214.34 and 7,038.28 is: 9,710.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,752.48 : 16,214.34 = 7,038.28 : x
  2. Step 2: Convert to fraction form
    11,752.48/16,214.34 = 7,038.28/x
  3. Step 3: Cross multiply
    11,752.48x = 16,214.34 × 7,038.28
  4. Step 4: Simplify right side
    11,752.48x = 114,121,064.94
  5. Step 5: Solve for x
    x = 114,121,064.94/11,752.48
  6. Step 6: Final answer
    x = 9,710.38

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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.