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Finding the Fourth Proportional to 7,038.56, 10,557.72 and 2,421.44

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Solution

The fourth proportional to 7,038.56, 10,557.72 and 2,421.44 is: 3,632.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038.56 : 10,557.72 = 2,421.44 : x
  2. Step 2: Convert to fraction form
    7,038.56/10,557.72 = 2,421.44/x
  3. Step 3: Cross multiply
    7,038.56x = 10,557.72 × 2,421.44
  4. Step 4: Simplify right side
    7,038.56x = 25,564,885.52
  5. Step 5: Solve for x
    x = 25,564,885.52/7,038.56
  6. Step 6: Final answer
    x = 3,632.12

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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.