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Finding the Fourth Proportional to 10,929.45, 16,369.51 and 7,657.15

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Solution

The fourth proportional to 10,929.45, 16,369.51 and 7,657.15 is: 11,468.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,929.45 : 16,369.51 = 7,657.15 : x
  2. Step 2: Convert to fraction form
    10,929.45/16,369.51 = 7,657.15/x
  3. Step 3: Cross multiply
    10,929.45x = 16,369.51 × 7,657.15
  4. Step 4: Simplify right side
    10,929.45x = 125,343,778.48
  5. Step 5: Solve for x
    x = 125,343,778.48/10,929.45
  6. Step 6: Final answer
    x = 11,468.45

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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.