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Finding the Fourth Proportional to 10,726.86, 14,803.65 and 6,011.04

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Solution

The fourth proportional to 10,726.86, 14,803.65 and 6,011.04 is: 8,295.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,726.86 : 14,803.65 = 6,011.04 : x
  2. Step 2: Convert to fraction form
    10,726.86/14,803.65 = 6,011.04/x
  3. Step 3: Cross multiply
    10,726.86x = 14,803.65 × 6,011.04
  4. Step 4: Simplify right side
    10,726.86x = 88,985,332.30
  5. Step 5: Solve for x
    x = 88,985,332.30/10,726.86
  6. Step 6: Final answer
    x = 8,295.56

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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.