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Finding the Fourth Proportional to 8,539.59, 11,776.95 and 5,353.20

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Solution

The fourth proportional to 8,539.59, 11,776.95 and 5,353.20 is: 7,382.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,539.59 : 11,776.95 = 5,353.20 : x
  2. Step 2: Convert to fraction form
    8,539.59/11,776.95 = 5,353.20/x
  3. Step 3: Cross multiply
    8,539.59x = 11,776.95 × 5,353.20
  4. Step 4: Simplify right side
    8,539.59x = 63,044,368.74
  5. Step 5: Solve for x
    x = 63,044,368.74/8,539.59
  6. Step 6: Final answer
    x = 7,382.60

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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.