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Finding the Fourth Proportional to 5,534.64, 7,618.32 and 5,009.76

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Solution

The fourth proportional to 5,534.64, 7,618.32 and 5,009.76 is: 6,895.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,534.64 : 7,618.32 = 5,009.76 : x
  2. Step 2: Convert to fraction form
    5,534.64/7,618.32 = 5,009.76/x
  3. Step 3: Cross multiply
    5,534.64x = 7,618.32 × 5,009.76
  4. Step 4: Simplify right side
    5,534.64x = 38,165,954.80
  5. Step 5: Solve for x
    x = 38,165,954.80/5,534.64
  6. Step 6: Final answer
    x = 6,895.83

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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.