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Finding the Fourth Proportional to 10,556.64, 15,832.80 and 4,709.52

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Solution

The fourth proportional to 10,556.64, 15,832.80 and 4,709.52 is: 7,063.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,556.64 : 15,832.80 = 4,709.52 : x
  2. Step 2: Convert to fraction form
    10,556.64/15,832.80 = 4,709.52/x
  3. Step 3: Cross multiply
    10,556.64x = 15,832.80 × 4,709.52
  4. Step 4: Simplify right side
    10,556.64x = 74,564,888.26
  5. Step 5: Solve for x
    x = 74,564,888.26/10,556.64
  6. Step 6: Final answer
    x = 7,063.32

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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.