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Finding the Fourth Proportional to 10,322.34, 15,475.15 and 4,779.20

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Solution

The fourth proportional to 10,322.34, 15,475.15 and 4,779.20 is: 7,164.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,322.34 : 15,475.15 = 4,779.20 : x
  2. Step 2: Convert to fraction form
    10,322.34/15,475.15 = 4,779.20/x
  3. Step 3: Cross multiply
    10,322.34x = 15,475.15 × 4,779.20
  4. Step 4: Simplify right side
    10,322.34x = 73,958,881.54
  5. Step 5: Solve for x
    x = 73,958,881.54/10,322.34
  6. Step 6: Final answer
    x = 7,164.94

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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.