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Finding the Fourth Proportional to 7,052.41, 9,710.13 and 5,988.07

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Solution

The fourth proportional to 7,052.41, 9,710.13 and 5,988.07 is: 8,244.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,052.41 : 9,710.13 = 5,988.07 : x
  2. Step 2: Convert to fraction form
    7,052.41/9,710.13 = 5,988.07/x
  3. Step 3: Cross multiply
    7,052.41x = 9,710.13 × 5,988.07
  4. Step 4: Simplify right side
    7,052.41x = 58,144,938.15
  5. Step 5: Solve for x
    x = 58,144,938.15/7,052.41
  6. Step 6: Final answer
    x = 8,244.69

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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.