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Finding the Fourth Proportional to 8,272.80, 11,417.04 and 5,130

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Solution

The fourth proportional to 8,272.80, 11,417.04 and 5,130 is: 7,079.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,272.80 : 11,417.04 = 5,130 : x
  2. Step 2: Convert to fraction form
    8,272.80/11,417.04 = 5,130/x
  3. Step 3: Cross multiply
    8,272.80x = 11,417.04 × 5,130
  4. Step 4: Simplify right side
    8,272.80x = 58,569,415.20
  5. Step 5: Solve for x
    x = 58,569,415.20/8,272.80
  6. Step 6: Final answer
    x = 7,079.76

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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.