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Finding the Fourth Proportional to 10,518.86, 14,516.04 and 5,803.13

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Solution

The fourth proportional to 10,518.86, 14,516.04 and 5,803.13 is: 8,008.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,518.86 : 14,516.04 = 5,803.13 : x
  2. Step 2: Convert to fraction form
    10,518.86/14,516.04 = 5,803.13/x
  3. Step 3: Cross multiply
    10,518.86x = 14,516.04 × 5,803.13
  4. Step 4: Simplify right side
    10,518.86x = 84,238,394.63
  5. Step 5: Solve for x
    x = 84,238,394.63/10,518.86
  6. Step 6: Final answer
    x = 8,008.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.