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Finding the Fourth Proportional to 10,175, 14,041.32 and 5,698.70

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Solution

The fourth proportional to 10,175, 14,041.32 and 5,698.70 is: 7,864.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,175 : 14,041.32 = 5,698.70 : x
  2. Step 2: Convert to fraction form
    10,175/14,041.32 = 5,698.70/x
  3. Step 3: Cross multiply
    10,175x = 14,041.32 × 5,698.70
  4. Step 4: Simplify right side
    10,175x = 80,017,270.28
  5. Step 5: Solve for x
    x = 80,017,270.28/10,175
  6. Step 6: Final answer
    x = 7,864.11

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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.