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Finding the Fourth Proportional to 10,314.56, 15,461.28 and 7,670.72

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Solution

The fourth proportional to 10,314.56, 15,461.28 and 7,670.72 is: 11,498.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,314.56 : 15,461.28 = 7,670.72 : x
  2. Step 2: Convert to fraction form
    10,314.56/15,461.28 = 7,670.72/x
  3. Step 3: Cross multiply
    10,314.56x = 15,461.28 × 7,670.72
  4. Step 4: Simplify right side
    10,314.56x = 118,599,149.72
  5. Step 5: Solve for x
    x = 118,599,149.72/10,314.56
  6. Step 6: Final answer
    x = 11,498.23

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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.