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Finding the Fourth Proportional to 10,296.40, 14,207.77 and 7,311.15

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Solution

The fourth proportional to 10,296.40, 14,207.77 and 7,311.15 is: 10,088.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,296.40 : 14,207.77 = 7,311.15 : x
  2. Step 2: Convert to fraction form
    10,296.40/14,207.77 = 7,311.15/x
  3. Step 3: Cross multiply
    10,296.40x = 14,207.77 × 7,311.15
  4. Step 4: Simplify right side
    10,296.40x = 103,875,137.64
  5. Step 5: Solve for x
    x = 103,875,137.64/10,296.40
  6. Step 6: Final answer
    x = 10,088.49

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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.