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Finding the Fourth Proportional to 12,948.60, 17,864.46 and 7,640.76

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Solution

The fourth proportional to 12,948.60, 17,864.46 and 7,640.76 is: 10,541.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,948.60 : 17,864.46 = 7,640.76 : x
  2. Step 2: Convert to fraction form
    12,948.60/17,864.46 = 7,640.76/x
  3. Step 3: Cross multiply
    12,948.60x = 17,864.46 × 7,640.76
  4. Step 4: Simplify right side
    12,948.60x = 136,498,051.39
  5. Step 5: Solve for x
    x = 136,498,051.39/12,948.60
  6. Step 6: Final answer
    x = 10,541.53

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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.