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Finding the Fourth Proportional to 7,004.66, 10,506.58 and 3,107.76

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Solution

The fourth proportional to 7,004.66, 10,506.58 and 3,107.76 is: 4,661.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,004.66 : 10,506.58 = 3,107.76 : x
  2. Step 2: Convert to fraction form
    7,004.66/10,506.58 = 3,107.76/x
  3. Step 3: Cross multiply
    7,004.66x = 10,506.58 × 3,107.76
  4. Step 4: Simplify right side
    7,004.66x = 32,651,929.06
  5. Step 5: Solve for x
    x = 32,651,929.06/7,004.66
  6. Step 6: Final answer
    x = 4,661.46

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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.