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Finding the Fourth Proportional to 7,465.51, 10,302.41 and 4,108.56

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Solution

The fourth proportional to 7,465.51, 10,302.41 and 4,108.56 is: 5,669.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,465.51 : 10,302.41 = 4,108.56 : x
  2. Step 2: Convert to fraction form
    7,465.51/10,302.41 = 4,108.56/x
  3. Step 3: Cross multiply
    7,465.51x = 10,302.41 × 4,108.56
  4. Step 4: Simplify right side
    7,465.51x = 42,328,069.63
  5. Step 5: Solve for x
    x = 42,328,069.63/7,465.51
  6. Step 6: Final answer
    x = 5,669.82

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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.