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Finding the Fourth Proportional to 7,041.36, 10,562.04 and 2,424

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Solution

The fourth proportional to 7,041.36, 10,562.04 and 2,424 is: 3,636.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,041.36 : 10,562.04 = 2,424 : x
  2. Step 2: Convert to fraction form
    7,041.36/10,562.04 = 2,424/x
  3. Step 3: Cross multiply
    7,041.36x = 10,562.04 × 2,424
  4. Step 4: Simplify right side
    7,041.36x = 25,602,384.96
  5. Step 5: Solve for x
    x = 25,602,384.96/7,041.36
  6. Step 6: Final answer
    x = 3,636.00

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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.