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Finding the Fourth Proportional to 10,690.37, 16,017.14 and 7,565.23

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Solution

The fourth proportional to 10,690.37, 16,017.14 and 7,565.23 is: 11,334.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,690.37 : 16,017.14 = 7,565.23 : x
  2. Step 2: Convert to fraction form
    10,690.37/16,017.14 = 7,565.23/x
  3. Step 3: Cross multiply
    10,690.37x = 16,017.14 × 7,565.23
  4. Step 4: Simplify right side
    10,690.37x = 121,173,386.98
  5. Step 5: Solve for x
    x = 121,173,386.98/10,690.37
  6. Step 6: Final answer
    x = 11,334.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.