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Finding the Fourth Proportional to 8,319.04, 11,477.48 and 5,175

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Solution

The fourth proportional to 8,319.04, 11,477.48 and 5,175 is: 7,139.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,319.04 : 11,477.48 = 5,175 : x
  2. Step 2: Convert to fraction form
    8,319.04/11,477.48 = 5,175/x
  3. Step 3: Cross multiply
    8,319.04x = 11,477.48 × 5,175
  4. Step 4: Simplify right side
    8,319.04x = 59,395,959
  5. Step 5: Solve for x
    x = 59,395,959/8,319.04
  6. Step 6: Final answer
    x = 7,139.76

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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.