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Finding the Fourth Proportional to 10,596.60, 15,883.80 and 5,047.32

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Solution

The fourth proportional to 10,596.60, 15,883.80 and 5,047.32 is: 7,565.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,596.60 : 15,883.80 = 5,047.32 : x
  2. Step 2: Convert to fraction form
    10,596.60/15,883.80 = 5,047.32/x
  3. Step 3: Cross multiply
    10,596.60x = 15,883.80 × 5,047.32
  4. Step 4: Simplify right side
    10,596.60x = 80,170,621.42
  5. Step 5: Solve for x
    x = 80,170,621.42/10,596.60
  6. Step 6: Final answer
    x = 7,565.69

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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.