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Finding the Fourth Proportional to 11,468.51, 15,823.91 and 6,432.53

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Solution

The fourth proportional to 11,468.51, 15,823.91 and 6,432.53 is: 8,875.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,468.51 : 15,823.91 = 6,432.53 : x
  2. Step 2: Convert to fraction form
    11,468.51/15,823.91 = 6,432.53/x
  3. Step 3: Cross multiply
    11,468.51x = 15,823.91 × 6,432.53
  4. Step 4: Simplify right side
    11,468.51x = 101,787,831.43
  5. Step 5: Solve for x
    x = 101,787,831.43/11,468.51
  6. Step 6: Final answer
    x = 8,875.42

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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.