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Finding the Fourth Proportional to 7,643.92, 11,448.93 and 5,875.90

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Solution

The fourth proportional to 7,643.92, 11,448.93 and 5,875.90 is: 8,800.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.92 : 11,448.93 = 5,875.90 : x
  2. Step 2: Convert to fraction form
    7,643.92/11,448.93 = 5,875.90/x
  3. Step 3: Cross multiply
    7,643.92x = 11,448.93 × 5,875.90
  4. Step 4: Simplify right side
    7,643.92x = 67,272,767.79
  5. Step 5: Solve for x
    x = 67,272,767.79/7,643.92
  6. Step 6: Final answer
    x = 8,800.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.