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Finding the Fourth Proportional to 8,283.39, 11,430.71 and 4,746.93

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Solution

The fourth proportional to 8,283.39, 11,430.71 and 4,746.93 is: 6,550.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283.39 : 11,430.71 = 4,746.93 : x
  2. Step 2: Convert to fraction form
    8,283.39/11,430.71 = 4,746.93/x
  3. Step 3: Cross multiply
    8,283.39x = 11,430.71 × 4,746.93
  4. Step 4: Simplify right side
    8,283.39x = 54,260,734.93
  5. Step 5: Solve for x
    x = 54,260,734.93/8,283.39
  6. Step 6: Final answer
    x = 6,550.55

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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.