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Finding the Fourth Proportional to 8,282.72, 11,430.21 and 4,746.17

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Solution

The fourth proportional to 8,282.72, 11,430.21 and 4,746.17 is: 6,549.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282.72 : 11,430.21 = 4,746.17 : x
  2. Step 2: Convert to fraction form
    8,282.72/11,430.21 = 4,746.17/x
  3. Step 3: Cross multiply
    8,282.72x = 11,430.21 × 4,746.17
  4. Step 4: Simplify right side
    8,282.72x = 54,249,662.64
  5. Step 5: Solve for x
    x = 54,249,662.64/8,282.72
  6. Step 6: Final answer
    x = 6,549.74

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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.