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Finding the Fourth Proportional to 8,465.52, 11,682.54 and 4,688.40

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Solution

The fourth proportional to 8,465.52, 11,682.54 and 4,688.40 is: 6,470.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,465.52 : 11,682.54 = 4,688.40 : x
  2. Step 2: Convert to fraction form
    8,465.52/11,682.54 = 4,688.40/x
  3. Step 3: Cross multiply
    8,465.52x = 11,682.54 × 4,688.40
  4. Step 4: Simplify right side
    8,465.52x = 54,772,420.54
  5. Step 5: Solve for x
    x = 54,772,420.54/8,465.52
  6. Step 6: Final answer
    x = 6,470.06

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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.