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Finding the Fourth Proportional to 5,577.12, 7,693.28 and 5,013.36

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Solution

The fourth proportional to 5,577.12, 7,693.28 and 5,013.36 is: 6,915.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,577.12 : 7,693.28 = 5,013.36 : x
  2. Step 2: Convert to fraction form
    5,577.12/7,693.28 = 5,013.36/x
  3. Step 3: Cross multiply
    5,577.12x = 7,693.28 × 5,013.36
  4. Step 4: Simplify right side
    5,577.12x = 38,569,182.22
  5. Step 5: Solve for x
    x = 38,569,182.22/5,577.12
  6. Step 6: Final answer
    x = 6,915.61

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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.