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Finding the Fourth Proportional to 7,628.10, 11,442.15 and 4,712.10

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Solution

The fourth proportional to 7,628.10, 11,442.15 and 4,712.10 is: 7,068.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,628.10 : 11,442.15 = 4,712.10 : x
  2. Step 2: Convert to fraction form
    7,628.10/11,442.15 = 4,712.10/x
  3. Step 3: Cross multiply
    7,628.10x = 11,442.15 × 4,712.10
  4. Step 4: Simplify right side
    7,628.10x = 53,916,555.02
  5. Step 5: Solve for x
    x = 53,916,555.02/7,628.10
  6. Step 6: Final answer
    x = 7,068.15

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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.