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Finding the Fourth Proportional to 7,429.58, 10,252.14 and 4,285.16

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Solution

The fourth proportional to 7,429.58, 10,252.14 and 4,285.16 is: 5,913.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,429.58 : 10,252.14 = 4,285.16 : x
  2. Step 2: Convert to fraction form
    7,429.58/10,252.14 = 4,285.16/x
  3. Step 3: Cross multiply
    7,429.58x = 10,252.14 × 4,285.16
  4. Step 4: Simplify right side
    7,429.58x = 43,932,060.24
  5. Step 5: Solve for x
    x = 43,932,060.24/7,429.58
  6. Step 6: Final answer
    x = 5,913.13

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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.