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Finding the Fourth Proportional to 8,293.75, 11,444.52 and 4,707.57

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Solution

The fourth proportional to 8,293.75, 11,444.52 and 4,707.57 is: 6,495.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,293.75 : 11,444.52 = 4,707.57 : x
  2. Step 2: Convert to fraction form
    8,293.75/11,444.52 = 4,707.57/x
  3. Step 3: Cross multiply
    8,293.75x = 11,444.52 × 4,707.57
  4. Step 4: Simplify right side
    8,293.75x = 53,875,879.02
  5. Step 5: Solve for x
    x = 53,875,879.02/8,293.75
  6. Step 6: Final answer
    x = 6,495.96

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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.