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Finding the Fourth Proportional to 6,587.44, 9,884.40 and 4,652.08

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Solution

The fourth proportional to 6,587.44, 9,884.40 and 4,652.08 is: 6,980.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,587.44 : 9,884.40 = 4,652.08 : x
  2. Step 2: Convert to fraction form
    6,587.44/9,884.40 = 4,652.08/x
  3. Step 3: Cross multiply
    6,587.44x = 9,884.40 × 4,652.08
  4. Step 4: Simplify right side
    6,587.44x = 45,983,019.55
  5. Step 5: Solve for x
    x = 45,983,019.55/6,587.44
  6. Step 6: Final answer
    x = 6,980.41

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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.