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Finding the Fourth Proportional to 7,671.10, 10,585.88 and 4,314.06

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Solution

The fourth proportional to 7,671.10, 10,585.88 and 4,314.06 is: 5,953.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,671.10 : 10,585.88 = 4,314.06 : x
  2. Step 2: Convert to fraction form
    7,671.10/10,585.88 = 4,314.06/x
  3. Step 3: Cross multiply
    7,671.10x = 10,585.88 × 4,314.06
  4. Step 4: Simplify right side
    7,671.10x = 45,668,121.47
  5. Step 5: Solve for x
    x = 45,668,121.47/7,671.10
  6. Step 6: Final answer
    x = 5,953.27

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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.