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Finding the Fourth Proportional to 10,709.66, 14,779.01 and 5,929.79

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Solution

The fourth proportional to 10,709.66, 14,779.01 and 5,929.79 is: 8,182.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,709.66 : 14,779.01 = 5,929.79 : x
  2. Step 2: Convert to fraction form
    10,709.66/14,779.01 = 5,929.79/x
  3. Step 3: Cross multiply
    10,709.66x = 14,779.01 × 5,929.79
  4. Step 4: Simplify right side
    10,709.66x = 87,636,425.71
  5. Step 5: Solve for x
    x = 87,636,425.71/10,709.66
  6. Step 6: Final answer
    x = 8,182.93

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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.