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Finding the Fourth Proportional to 11,507.03, 15,878.54 and 6,470.45

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Solution

The fourth proportional to 11,507.03, 15,878.54 and 6,470.45 is: 8,928.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,507.03 : 15,878.54 = 6,470.45 : x
  2. Step 2: Convert to fraction form
    11,507.03/15,878.54 = 6,470.45/x
  3. Step 3: Cross multiply
    11,507.03x = 15,878.54 × 6,470.45
  4. Step 4: Simplify right side
    11,507.03x = 102,741,219.75
  5. Step 5: Solve for x
    x = 102,741,219.75/11,507.03
  6. Step 6: Final answer
    x = 8,928.56

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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.