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Finding the Fourth Proportional to 11,707.85, 16,155.07 and 6,603.14

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Solution

The fourth proportional to 11,707.85, 16,155.07 and 6,603.14 is: 9,111.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,707.85 : 16,155.07 = 6,603.14 : x
  2. Step 2: Convert to fraction form
    11,707.85/16,155.07 = 6,603.14/x
  3. Step 3: Cross multiply
    11,707.85x = 16,155.07 × 6,603.14
  4. Step 4: Simplify right side
    11,707.85x = 106,674,188.92
  5. Step 5: Solve for x
    x = 106,674,188.92/11,707.85
  6. Step 6: Final answer
    x = 9,111.34

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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.