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Finding the Fourth Proportional to 7,463.88, 10,300.32 and 4,106.87

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Solution

The fourth proportional to 7,463.88, 10,300.32 and 4,106.87 is: 5,667.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,463.88 : 10,300.32 = 4,106.87 : x
  2. Step 2: Convert to fraction form
    7,463.88/10,300.32 = 4,106.87/x
  3. Step 3: Cross multiply
    7,463.88x = 10,300.32 × 4,106.87
  4. Step 4: Simplify right side
    7,463.88x = 42,302,062.32
  5. Step 5: Solve for x
    x = 42,302,062.32/7,463.88
  6. Step 6: Final answer
    x = 5,667.57

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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.