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Finding the Fourth Proportional to 8,032.47, 12,052.35 and 4,751.97

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Solution

The fourth proportional to 8,032.47, 12,052.35 and 4,751.97 is: 7,130.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032.47 : 12,052.35 = 4,751.97 : x
  2. Step 2: Convert to fraction form
    8,032.47/12,052.35 = 4,751.97/x
  3. Step 3: Cross multiply
    8,032.47x = 12,052.35 × 4,751.97
  4. Step 4: Simplify right side
    8,032.47x = 57,272,405.63
  5. Step 5: Solve for x
    x = 57,272,405.63/8,032.47
  6. Step 6: Final answer
    x = 7,130.11

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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.