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Finding the Fourth Proportional to 11,503.86, 15,875.49 and 6,468.05

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Solution

The fourth proportional to 11,503.86, 15,875.49 and 6,468.05 is: 8,926.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,503.86 : 15,875.49 = 6,468.05 : x
  2. Step 2: Convert to fraction form
    11,503.86/15,875.49 = 6,468.05/x
  3. Step 3: Cross multiply
    11,503.86x = 15,875.49 × 6,468.05
  4. Step 4: Simplify right side
    11,503.86x = 102,683,527.04
  5. Step 5: Solve for x
    x = 102,683,527.04/11,503.86
  6. Step 6: Final answer
    x = 8,926.01

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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.