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Finding the Fourth Proportional to 7,022.60, 10,525.05 and 6,143.00

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Solution

The fourth proportional to 7,022.60, 10,525.05 and 6,143.00 is: 9,206.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,022.60 : 10,525.05 = 6,143.00 : x
  2. Step 2: Convert to fraction form
    7,022.60/10,525.05 = 6,143.00/x
  3. Step 3: Cross multiply
    7,022.60x = 10,525.05 × 6,143.00
  4. Step 4: Simplify right side
    7,022.60x = 64,655,408.46
  5. Step 5: Solve for x
    x = 64,655,408.46/7,022.60
  6. Step 6: Final answer
    x = 9,206.77

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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.