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Finding the Fourth Proportional to 10,708.86, 14,779.08 and 7,889.13

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Solution

The fourth proportional to 10,708.86, 14,779.08 and 7,889.13 is: 10,887.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,708.86 : 14,779.08 = 7,889.13 : x
  2. Step 2: Convert to fraction form
    10,708.86/14,779.08 = 7,889.13/x
  3. Step 3: Cross multiply
    10,708.86x = 14,779.08 × 7,889.13
  4. Step 4: Simplify right side
    10,708.86x = 116,594,083.40
  5. Step 5: Solve for x
    x = 116,594,083.40/10,708.86
  6. Step 6: Final answer
    x = 10,887.63

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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.