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Finding the Fourth Proportional to 7,038.84, 10,559.70 and 2,421.24

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Solution

The fourth proportional to 7,038.84, 10,559.70 and 2,421.24 is: 3,632.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038.84 : 10,559.70 = 2,421.24 : x
  2. Step 2: Convert to fraction form
    7,038.84/10,559.70 = 2,421.24/x
  3. Step 3: Cross multiply
    7,038.84x = 10,559.70 × 2,421.24
  4. Step 4: Simplify right side
    7,038.84x = 25,567,568.03
  5. Step 5: Solve for x
    x = 25,567,568.03/7,038.84
  6. Step 6: Final answer
    x = 3,632.36

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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.