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Finding the Fourth Proportional to 10,918.91, 15,064.57 and 6,444.16

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Solution

The fourth proportional to 10,918.91, 15,064.57 and 6,444.16 is: 8,890.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,918.91 : 15,064.57 = 6,444.16 : x
  2. Step 2: Convert to fraction form
    10,918.91/15,064.57 = 6,444.16/x
  3. Step 3: Cross multiply
    10,918.91x = 15,064.57 × 6,444.16
  4. Step 4: Simplify right side
    10,918.91x = 97,078,499.41
  5. Step 5: Solve for x
    x = 97,078,499.41/10,918.91
  6. Step 6: Final answer
    x = 8,890.86

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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.