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Finding the Fourth Proportional to 10,656.32, 14,705.94 and 6,181.52

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Solution

The fourth proportional to 10,656.32, 14,705.94 and 6,181.52 is: 8,530.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,656.32 : 14,705.94 = 6,181.52 : x
  2. Step 2: Convert to fraction form
    10,656.32/14,705.94 = 6,181.52/x
  3. Step 3: Cross multiply
    10,656.32x = 14,705.94 × 6,181.52
  4. Step 4: Simplify right side
    10,656.32x = 90,905,062.23
  5. Step 5: Solve for x
    x = 90,905,062.23/10,656.32
  6. Step 6: Final answer
    x = 8,530.62

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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.