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Finding the Fourth Proportional to 7,988.47, 11,026.05 and 5,159

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Solution

The fourth proportional to 7,988.47, 11,026.05 and 5,159 is: 7,120.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,988.47 : 11,026.05 = 5,159 : x
  2. Step 2: Convert to fraction form
    7,988.47/11,026.05 = 5,159/x
  3. Step 3: Cross multiply
    7,988.47x = 11,026.05 × 5,159
  4. Step 4: Simplify right side
    7,988.47x = 56,883,391.95
  5. Step 5: Solve for x
    x = 56,883,391.95/7,988.47
  6. Step 6: Final answer
    x = 7,120.69

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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.