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Finding the Fourth Proportional to 10,358.40, 14,290.08 and 6,164.28

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Solution

The fourth proportional to 10,358.40, 14,290.08 and 6,164.28 is: 8,504.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,358.40 : 14,290.08 = 6,164.28 : x
  2. Step 2: Convert to fraction form
    10,358.40/14,290.08 = 6,164.28/x
  3. Step 3: Cross multiply
    10,358.40x = 14,290.08 × 6,164.28
  4. Step 4: Simplify right side
    10,358.40x = 88,088,054.34
  5. Step 5: Solve for x
    x = 88,088,054.34/10,358.40
  6. Step 6: Final answer
    x = 8,504.02

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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.