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Finding the Fourth Proportional to 7,643.60, 11,448.45 and 5,875.57

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Solution

The fourth proportional to 7,643.60, 11,448.45 and 5,875.57 is: 8,800.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.60 : 11,448.45 = 5,875.57 : x
  2. Step 2: Convert to fraction form
    7,643.60/11,448.45 = 5,875.57/x
  3. Step 3: Cross multiply
    7,643.60x = 11,448.45 × 5,875.57
  4. Step 4: Simplify right side
    7,643.60x = 67,266,169.37
  5. Step 5: Solve for x
    x = 67,266,169.37/7,643.60
  6. Step 6: Final answer
    x = 8,800.33

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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.