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Finding the Fourth Proportional to 11,657.46, 16,088.58 and 7,180.32

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Solution

The fourth proportional to 11,657.46, 16,088.58 and 7,180.32 is: 9,909.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.46 : 16,088.58 = 7,180.32 : x
  2. Step 2: Convert to fraction form
    11,657.46/16,088.58 = 7,180.32/x
  3. Step 3: Cross multiply
    11,657.46x = 16,088.58 × 7,180.32
  4. Step 4: Simplify right side
    11,657.46x = 115,521,152.75
  5. Step 5: Solve for x
    x = 115,521,152.75/11,657.46
  6. Step 6: Final answer
    x = 9,909.63

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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.