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Finding the Fourth Proportional to 10,352.17, 14,287.17 and 6,160.42

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Solution

The fourth proportional to 10,352.17, 14,287.17 and 6,160.42 is: 8,502.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,352.17 : 14,287.17 = 6,160.42 : x
  2. Step 2: Convert to fraction form
    10,352.17/14,287.17 = 6,160.42/x
  3. Step 3: Cross multiply
    10,352.17x = 14,287.17 × 6,160.42
  4. Step 4: Simplify right side
    10,352.17x = 88,014,967.81
  5. Step 5: Solve for x
    x = 88,014,967.81/10,352.17
  6. Step 6: Final answer
    x = 8,502.08

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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.