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Finding the Fourth Proportional to 7,024.69, 10,534.45 and 2,862.45

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Solution

The fourth proportional to 7,024.69, 10,534.45 and 2,862.45 is: 4,292.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,024.69 : 10,534.45 = 2,862.45 : x
  2. Step 2: Convert to fraction form
    7,024.69/10,534.45 = 2,862.45/x
  3. Step 3: Cross multiply
    7,024.69x = 10,534.45 × 2,862.45
  4. Step 4: Simplify right side
    7,024.69x = 30,154,336.40
  5. Step 5: Solve for x
    x = 30,154,336.40/7,024.69
  6. Step 6: Final answer
    x = 4,292.62

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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.