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Finding the Fourth Proportional to 7,730.10, 10,851.30 and 7,730.10

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Solution

The fourth proportional to 7,730.10, 10,851.30 and 7,730.10 is: 10,851.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,730.10 : 10,851.30 = 7,730.10 : x
  2. Step 2: Convert to fraction form
    7,730.10/10,851.30 = 7,730.10/x
  3. Step 3: Cross multiply
    7,730.10x = 10,851.30 × 7,730.10
  4. Step 4: Simplify right side
    7,730.10x = 83,881,634.13
  5. Step 5: Solve for x
    x = 83,881,634.13/7,730.10
  6. Step 6: Final answer
    x = 10,851.30

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.