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Finding the Fourth Proportional to 7,582.91, 10,474.62 and 6,875.54

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Solution

The fourth proportional to 7,582.91, 10,474.62 and 6,875.54 is: 9,497.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,582.91 : 10,474.62 = 6,875.54 : x
  2. Step 2: Convert to fraction form
    7,582.91/10,474.62 = 6,875.54/x
  3. Step 3: Cross multiply
    7,582.91x = 10,474.62 × 6,875.54
  4. Step 4: Simplify right side
    7,582.91x = 72,018,629.92
  5. Step 5: Solve for x
    x = 72,018,629.92/7,582.91
  6. Step 6: Final answer
    x = 9,497.50

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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.