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Finding the Fourth Proportional to 10,337.86, 14,266.05 and 5,622.10

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Solution

The fourth proportional to 10,337.86, 14,266.05 and 5,622.10 is: 7,758.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,337.86 : 14,266.05 = 5,622.10 : x
  2. Step 2: Convert to fraction form
    10,337.86/14,266.05 = 5,622.10/x
  3. Step 3: Cross multiply
    10,337.86x = 14,266.05 × 5,622.10
  4. Step 4: Simplify right side
    10,337.86x = 80,205,159.71
  5. Step 5: Solve for x
    x = 80,205,159.71/10,337.86
  6. Step 6: Final answer
    x = 7,758.39

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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.