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Finding the Fourth Proportional to 10,652.58, 14,699.34 and 6,175.40

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Solution

The fourth proportional to 10,652.58, 14,699.34 and 6,175.40 is: 8,521.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,652.58 : 14,699.34 = 6,175.40 : x
  2. Step 2: Convert to fraction form
    10,652.58/14,699.34 = 6,175.40/x
  3. Step 3: Cross multiply
    10,652.58x = 14,699.34 × 6,175.40
  4. Step 4: Simplify right side
    10,652.58x = 90,774,230.74
  5. Step 5: Solve for x
    x = 90,774,230.74/10,652.58
  6. Step 6: Final answer
    x = 8,521.34

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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.