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Finding the Fourth Proportional to 7,670.64, 11,499.85 and 7,055.58

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Solution

The fourth proportional to 7,670.64, 11,499.85 and 7,055.58 is: 10,577.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,670.64 : 11,499.85 = 7,055.58 : x
  2. Step 2: Convert to fraction form
    7,670.64/11,499.85 = 7,055.58/x
  3. Step 3: Cross multiply
    7,670.64x = 11,499.85 × 7,055.58
  4. Step 4: Simplify right side
    7,670.64x = 81,138,111.66
  5. Step 5: Solve for x
    x = 81,138,111.66/7,670.64
  6. Step 6: Final answer
    x = 10,577.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.