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Finding the Fourth Proportional to 10,649.48, 14,695 and 5,869.32

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Solution

The fourth proportional to 10,649.48, 14,695 and 5,869.32 is: 8,098.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649.48 : 14,695 = 5,869.32 : x
  2. Step 2: Convert to fraction form
    10,649.48/14,695 = 5,869.32/x
  3. Step 3: Cross multiply
    10,649.48x = 14,695 × 5,869.32
  4. Step 4: Simplify right side
    10,649.48x = 86,249,657.40
  5. Step 5: Solve for x
    x = 86,249,657.40/10,649.48
  6. Step 6: Final answer
    x = 8,098.95

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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.