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Finding the Fourth Proportional to 10,521.86, 14,519.94 and 6,045.50

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Solution

The fourth proportional to 10,521.86, 14,519.94 and 6,045.50 is: 8,342.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,521.86 : 14,519.94 = 6,045.50 : x
  2. Step 2: Convert to fraction form
    10,521.86/14,519.94 = 6,045.50/x
  3. Step 3: Cross multiply
    10,521.86x = 14,519.94 × 6,045.50
  4. Step 4: Simplify right side
    10,521.86x = 87,780,224.67
  5. Step 5: Solve for x
    x = 87,780,224.67/10,521.86
  6. Step 6: Final answer
    x = 8,342.66

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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.