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Finding the Fourth Proportional to 7,586.30, 10,468.65 and 4,229.00

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Solution

The fourth proportional to 7,586.30, 10,468.65 and 4,229.00 is: 5,835.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586.30 : 10,468.65 = 4,229.00 : x
  2. Step 2: Convert to fraction form
    7,586.30/10,468.65 = 4,229.00/x
  3. Step 3: Cross multiply
    7,586.30x = 10,468.65 × 4,229.00
  4. Step 4: Simplify right side
    7,586.30x = 44,271,868.51
  5. Step 5: Solve for x
    x = 44,271,868.51/7,586.30
  6. Step 6: Final answer
    x = 5,835.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.