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Finding the Fourth Proportional to 7,588.64, 10,456.08 and 5,100.32

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Solution

The fourth proportional to 7,588.64, 10,456.08 and 5,100.32 is: 7,027.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,588.64 : 10,456.08 = 5,100.32 : x
  2. Step 2: Convert to fraction form
    7,588.64/10,456.08 = 5,100.32/x
  3. Step 3: Cross multiply
    7,588.64x = 10,456.08 × 5,100.32
  4. Step 4: Simplify right side
    7,588.64x = 53,329,353.95
  5. Step 5: Solve for x
    x = 53,329,353.95/7,588.64
  6. Step 6: Final answer
    x = 7,027.52

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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.