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Finding the Fourth Proportional to 7,735.84, 10,675.52 and 4,548.28

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Solution

The fourth proportional to 7,735.84, 10,675.52 and 4,548.28 is: 6,276.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.84 : 10,675.52 = 4,548.28 : x
  2. Step 2: Convert to fraction form
    7,735.84/10,675.52 = 4,548.28/x
  3. Step 3: Cross multiply
    7,735.84x = 10,675.52 × 4,548.28
  4. Step 4: Simplify right side
    7,735.84x = 48,555,254.11
  5. Step 5: Solve for x
    x = 48,555,254.11/7,735.84
  6. Step 6: Final answer
    x = 6,276.66

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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.