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Finding the Fourth Proportional to 8,158.80, 11,252.88 and 5,502

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Solution

The fourth proportional to 8,158.80, 11,252.88 and 5,502 is: 7,588.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,158.80 : 11,252.88 = 5,502 : x
  2. Step 2: Convert to fraction form
    8,158.80/11,252.88 = 5,502/x
  3. Step 3: Cross multiply
    8,158.80x = 11,252.88 × 5,502
  4. Step 4: Simplify right side
    8,158.80x = 61,913,345.76
  5. Step 5: Solve for x
    x = 61,913,345.76/8,158.80
  6. Step 6: Final answer
    x = 7,588.54

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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.