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Finding the Fourth Proportional to 10,317.48, 14,238 and 6,071.28

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Solution

The fourth proportional to 10,317.48, 14,238 and 6,071.28 is: 8,378.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,317.48 : 14,238 = 6,071.28 : x
  2. Step 2: Convert to fraction form
    10,317.48/14,238 = 6,071.28/x
  3. Step 3: Cross multiply
    10,317.48x = 14,238 × 6,071.28
  4. Step 4: Simplify right side
    10,317.48x = 86,442,884.64
  5. Step 5: Solve for x
    x = 86,442,884.64/10,317.48
  6. Step 6: Final answer
    x = 8,378.29

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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.