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Finding the Fourth Proportional to 10,406.40, 14,360.10 and 5,690.58

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Solution

The fourth proportional to 10,406.40, 14,360.10 and 5,690.58 is: 7,852.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,406.40 : 14,360.10 = 5,690.58 : x
  2. Step 2: Convert to fraction form
    10,406.40/14,360.10 = 5,690.58/x
  3. Step 3: Cross multiply
    10,406.40x = 14,360.10 × 5,690.58
  4. Step 4: Simplify right side
    10,406.40x = 81,717,297.86
  5. Step 5: Solve for x
    x = 81,717,297.86/10,406.40
  6. Step 6: Final answer
    x = 7,852.60

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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.