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Finding the Fourth Proportional to 7,465.56, 10,302.72 and 4,108.50

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Solution

The fourth proportional to 7,465.56, 10,302.72 and 4,108.50 is: 5,669.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,465.56 : 10,302.72 = 4,108.50 : x
  2. Step 2: Convert to fraction form
    7,465.56/10,302.72 = 4,108.50/x
  3. Step 3: Cross multiply
    7,465.56x = 10,302.72 × 4,108.50
  4. Step 4: Simplify right side
    7,465.56x = 42,328,725.12
  5. Step 5: Solve for x
    x = 42,328,725.12/7,465.56
  6. Step 6: Final answer
    x = 5,669.87

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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.