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Finding the Fourth Proportional to 7,752.02, 10,701.42 and 4,959.14

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Solution

The fourth proportional to 7,752.02, 10,701.42 and 4,959.14 is: 6,845.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,752.02 : 10,701.42 = 4,959.14 : x
  2. Step 2: Convert to fraction form
    7,752.02/10,701.42 = 4,959.14/x
  3. Step 3: Cross multiply
    7,752.02x = 10,701.42 × 4,959.14
  4. Step 4: Simplify right side
    7,752.02x = 53,069,839.98
  5. Step 5: Solve for x
    x = 53,069,839.98/7,752.02
  6. Step 6: Final answer
    x = 6,845.94

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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.