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Finding the Fourth Proportional to 10,353.86, 15,483.08 and 7,690.48

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Solution

The fourth proportional to 10,353.86, 15,483.08 and 7,690.48 is: 11,500.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,353.86 : 15,483.08 = 7,690.48 : x
  2. Step 2: Convert to fraction form
    10,353.86/15,483.08 = 7,690.48/x
  3. Step 3: Cross multiply
    10,353.86x = 15,483.08 × 7,690.48
  4. Step 4: Simplify right side
    10,353.86x = 119,072,317.08
  5. Step 5: Solve for x
    x = 119,072,317.08/10,353.86
  6. Step 6: Final answer
    x = 11,500.28

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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.