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Finding the Fourth Proportional to 7,137.88, 9,848.70 and 5,461.18

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Solution

The fourth proportional to 7,137.88, 9,848.70 and 5,461.18 is: 7,535.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.88 : 9,848.70 = 5,461.18 : x
  2. Step 2: Convert to fraction form
    7,137.88/9,848.70 = 5,461.18/x
  3. Step 3: Cross multiply
    7,137.88x = 9,848.70 × 5,461.18
  4. Step 4: Simplify right side
    7,137.88x = 53,785,523.47
  5. Step 5: Solve for x
    x = 53,785,523.47/7,137.88
  6. Step 6: Final answer
    x = 7,535.22

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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.