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Finding the Fourth Proportional to 6,500.16, 8,966.16 and 4,262.16

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Solution

The fourth proportional to 6,500.16, 8,966.16 and 4,262.16 is: 5,879.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.16 : 8,966.16 = 4,262.16 : x
  2. Step 2: Convert to fraction form
    6,500.16/8,966.16 = 4,262.16/x
  3. Step 3: Cross multiply
    6,500.16x = 8,966.16 × 4,262.16
  4. Step 4: Simplify right side
    6,500.16x = 38,215,208.51
  5. Step 5: Solve for x
    x = 38,215,208.51/6,500.16
  6. Step 6: Final answer
    x = 5,879.12

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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.