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Finding the Fourth Proportional to 10,301.76, 14,215.10 and 6,715.08

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Solution

The fourth proportional to 10,301.76, 14,215.10 and 6,715.08 is: 9,265.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,301.76 : 14,215.10 = 6,715.08 : x
  2. Step 2: Convert to fraction form
    10,301.76/14,215.10 = 6,715.08/x
  3. Step 3: Cross multiply
    10,301.76x = 14,215.10 × 6,715.08
  4. Step 4: Simplify right side
    10,301.76x = 95,455,500.13
  5. Step 5: Solve for x
    x = 95,455,500.13/10,301.76
  6. Step 6: Final answer
    x = 9,265.94

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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.