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Finding the Fourth Proportional to 7,464.66, 10,300.82 and 4,106.93

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Solution

The fourth proportional to 7,464.66, 10,300.82 and 4,106.93 is: 5,667.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,464.66 : 10,300.82 = 4,106.93 : x
  2. Step 2: Convert to fraction form
    7,464.66/10,300.82 = 4,106.93/x
  3. Step 3: Cross multiply
    7,464.66x = 10,300.82 × 4,106.93
  4. Step 4: Simplify right side
    7,464.66x = 42,304,746.68
  5. Step 5: Solve for x
    x = 42,304,746.68/7,464.66
  6. Step 6: Final answer
    x = 5,667.34

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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.