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Finding the Fourth Proportional to 7,160.34, 9,881.52 and 4,175.70

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Solution

The fourth proportional to 7,160.34, 9,881.52 and 4,175.70 is: 5,762.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,160.34 : 9,881.52 = 4,175.70 : x
  2. Step 2: Convert to fraction form
    7,160.34/9,881.52 = 4,175.70/x
  3. Step 3: Cross multiply
    7,160.34x = 9,881.52 × 4,175.70
  4. Step 4: Simplify right side
    7,160.34x = 41,262,263.06
  5. Step 5: Solve for x
    x = 41,262,263.06/7,160.34
  6. Step 6: Final answer
    x = 5,762.61

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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.