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Finding the Fourth Proportional to 7,656.42, 11,475.70 and 3,702.11

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Solution

The fourth proportional to 7,656.42, 11,475.70 and 3,702.11 is: 5,548.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.42 : 11,475.70 = 3,702.11 : x
  2. Step 2: Convert to fraction form
    7,656.42/11,475.70 = 3,702.11/x
  3. Step 3: Cross multiply
    7,656.42x = 11,475.70 × 3,702.11
  4. Step 4: Simplify right side
    7,656.42x = 42,484,247.51
  5. Step 5: Solve for x
    x = 42,484,247.51/7,656.42
  6. Step 6: Final answer
    x = 5,548.84

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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.