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Finding the Fourth Proportional to 10,605.48, 14,636.04 and 6,357.23

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Solution

The fourth proportional to 10,605.48, 14,636.04 and 6,357.23 is: 8,773.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.48 : 14,636.04 = 6,357.23 : x
  2. Step 2: Convert to fraction form
    10,605.48/14,636.04 = 6,357.23/x
  3. Step 3: Cross multiply
    10,605.48x = 14,636.04 × 6,357.23
  4. Step 4: Simplify right side
    10,605.48x = 93,044,748.52
  5. Step 5: Solve for x
    x = 93,044,748.52/10,605.48
  6. Step 6: Final answer
    x = 8,773.27

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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.