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Finding the Fourth Proportional to 7,107.07, 10,666.41 and 5,029.07

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Solution

The fourth proportional to 7,107.07, 10,666.41 and 5,029.07 is: 7,547.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,107.07 : 10,666.41 = 5,029.07 : x
  2. Step 2: Convert to fraction form
    7,107.07/10,666.41 = 5,029.07/x
  3. Step 3: Cross multiply
    7,107.07x = 10,666.41 × 5,029.07
  4. Step 4: Simplify right side
    7,107.07x = 53,642,169.49
  5. Step 5: Solve for x
    x = 53,642,169.49/7,107.07
  6. Step 6: Final answer
    x = 7,547.72

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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.