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Finding the Fourth Proportional to 11,707.52, 17,624.90 and 10,502

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Solution

The fourth proportional to 11,707.52, 17,624.90 and 10,502 is: 15,810.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,707.52 : 17,624.90 = 10,502 : x
  2. Step 2: Convert to fraction form
    11,707.52/17,624.90 = 10,502/x
  3. Step 3: Cross multiply
    11,707.52x = 17,624.90 × 10,502
  4. Step 4: Simplify right side
    11,707.52x = 185,096,699.80
  5. Step 5: Solve for x
    x = 185,096,699.80/11,707.52
  6. Step 6: Final answer
    x = 15,810.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.