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Finding the Fourth Proportional to 10,387.08, 15,580.62 and 9,564.12

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Solution

The fourth proportional to 10,387.08, 15,580.62 and 9,564.12 is: 14,346.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,387.08 : 15,580.62 = 9,564.12 : x
  2. Step 2: Convert to fraction form
    10,387.08/15,580.62 = 9,564.12/x
  3. Step 3: Cross multiply
    10,387.08x = 15,580.62 × 9,564.12
  4. Step 4: Simplify right side
    10,387.08x = 149,014,919.35
  5. Step 5: Solve for x
    x = 149,014,919.35/10,387.08
  6. Step 6: Final answer
    x = 14,346.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.