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Finding the Fourth Proportional to 11,482.48, 15,845.92 and 6,705.76

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Solution

The fourth proportional to 11,482.48, 15,845.92 and 6,705.76 is: 9,254.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,482.48 : 15,845.92 = 6,705.76 : x
  2. Step 2: Convert to fraction form
    11,482.48/15,845.92 = 6,705.76/x
  3. Step 3: Cross multiply
    11,482.48x = 15,845.92 × 6,705.76
  4. Step 4: Simplify right side
    11,482.48x = 106,258,936.50
  5. Step 5: Solve for x
    x = 106,258,936.50/11,482.48
  6. Step 6: Final answer
    x = 9,254.01

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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.