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Finding the Fourth Proportional to 7,000.16, 10,498.14 and 2,319.17

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Solution

The fourth proportional to 7,000.16, 10,498.14 and 2,319.17 is: 3,478.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,000.16 : 10,498.14 = 2,319.17 : x
  2. Step 2: Convert to fraction form
    7,000.16/10,498.14 = 2,319.17/x
  3. Step 3: Cross multiply
    7,000.16x = 10,498.14 × 2,319.17
  4. Step 4: Simplify right side
    7,000.16x = 24,346,918.85
  5. Step 5: Solve for x
    x = 24,346,918.85/7,000.16
  6. Step 6: Final answer
    x = 3,478.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.