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Finding the Fourth Proportional to 11,505.93, 15,878.10 and 6,470.16

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Solution

The fourth proportional to 11,505.93, 15,878.10 and 6,470.16 is: 8,928.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,505.93 : 15,878.10 = 6,470.16 : x
  2. Step 2: Convert to fraction form
    11,505.93/15,878.10 = 6,470.16/x
  3. Step 3: Cross multiply
    11,505.93x = 15,878.10 × 6,470.16
  4. Step 4: Simplify right side
    11,505.93x = 102,733,847.50
  5. Step 5: Solve for x
    x = 102,733,847.50/11,505.93
  6. Step 6: Final answer
    x = 8,928.77

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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.