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Finding the Fourth Proportional to 7,557.43, 10,429.05 and 4,200.16

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Solution

The fourth proportional to 7,557.43, 10,429.05 and 4,200.16 is: 5,796.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,557.43 : 10,429.05 = 4,200.16 : x
  2. Step 2: Convert to fraction form
    7,557.43/10,429.05 = 4,200.16/x
  3. Step 3: Cross multiply
    7,557.43x = 10,429.05 × 4,200.16
  4. Step 4: Simplify right side
    7,557.43x = 43,803,678.65
  5. Step 5: Solve for x
    x = 43,803,678.65/7,557.43
  6. Step 6: Final answer
    x = 5,796.11

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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.