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Finding the Fourth Proportional to 8,699.30, 11,999.57 and 5,160

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Solution

The fourth proportional to 8,699.30, 11,999.57 and 5,160 is: 7,117.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,699.30 : 11,999.57 = 5,160 : x
  2. Step 2: Convert to fraction form
    8,699.30/11,999.57 = 5,160/x
  3. Step 3: Cross multiply
    8,699.30x = 11,999.57 × 5,160
  4. Step 4: Simplify right side
    8,699.30x = 61,917,755.40
  5. Step 5: Solve for x
    x = 61,917,755.40/8,699.30
  6. Step 6: Final answer
    x = 7,117.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.