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Finding the Fourth Proportional to 7,458.24, 10,292.64 and 6,045.12

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Solution

The fourth proportional to 7,458.24, 10,292.64 and 6,045.12 is: 8,342.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,458.24 : 10,292.64 = 6,045.12 : x
  2. Step 2: Convert to fraction form
    7,458.24/10,292.64 = 6,045.12/x
  3. Step 3: Cross multiply
    7,458.24x = 10,292.64 × 6,045.12
  4. Step 4: Simplify right side
    7,458.24x = 62,220,243.92
  5. Step 5: Solve for x
    x = 62,220,243.92/7,458.24
  6. Step 6: Final answer
    x = 8,342.48

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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.