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Finding the Fourth Proportional to 11,539.72, 15,924.59 and 6,503.84

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Solution

The fourth proportional to 11,539.72, 15,924.59 and 6,503.84 is: 8,975.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,539.72 : 15,924.59 = 6,503.84 : x
  2. Step 2: Convert to fraction form
    11,539.72/15,924.59 = 6,503.84/x
  3. Step 3: Cross multiply
    11,539.72x = 15,924.59 × 6,503.84
  4. Step 4: Simplify right side
    11,539.72x = 103,570,985.43
  5. Step 5: Solve for x
    x = 103,570,985.43/11,539.72
  6. Step 6: Final answer
    x = 8,975.17

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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.