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Finding the Fourth Proportional to 10,500.74, 14,477.57 and 8,605.34

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Solution

The fourth proportional to 10,500.74, 14,477.57 and 8,605.34 is: 11,864.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,500.74 : 14,477.57 = 8,605.34 : x
  2. Step 2: Convert to fraction form
    10,500.74/14,477.57 = 8,605.34/x
  3. Step 3: Cross multiply
    10,500.74x = 14,477.57 × 8,605.34
  4. Step 4: Simplify right side
    10,500.74x = 124,584,412.22
  5. Step 5: Solve for x
    x = 124,584,412.22/10,500.74
  6. Step 6: Final answer
    x = 11,864.35

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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.