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Finding the Fourth Proportional to 6,988.38, 10,465.04 and 4,175.48

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Solution

The fourth proportional to 6,988.38, 10,465.04 and 4,175.48 is: 6,252.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,988.38 : 10,465.04 = 4,175.48 : x
  2. Step 2: Convert to fraction form
    6,988.38/10,465.04 = 4,175.48/x
  3. Step 3: Cross multiply
    6,988.38x = 10,465.04 × 4,175.48
  4. Step 4: Simplify right side
    6,988.38x = 43,696,492.02
  5. Step 5: Solve for x
    x = 43,696,492.02/6,988.38
  6. Step 6: Final answer
    x = 6,252.74

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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.