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Finding the Fourth Proportional to 10,358.56, 14,290.25 and 7,000.14

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Solution

The fourth proportional to 10,358.56, 14,290.25 and 7,000.14 is: 9,657.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,358.56 : 14,290.25 = 7,000.14 : x
  2. Step 2: Convert to fraction form
    10,358.56/14,290.25 = 7,000.14/x
  3. Step 3: Cross multiply
    10,358.56x = 14,290.25 × 7,000.14
  4. Step 4: Simplify right side
    10,358.56x = 100,033,750.64
  5. Step 5: Solve for x
    x = 100,033,750.64/10,358.56
  6. Step 6: Final answer
    x = 9,657.11

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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.