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Finding the Fourth Proportional to 10,907.59, 16,345.70 and 4,665.90

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Solution

The fourth proportional to 10,907.59, 16,345.70 and 4,665.90 is: 6,992.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,907.59 : 16,345.70 = 4,665.90 : x
  2. Step 2: Convert to fraction form
    10,907.59/16,345.70 = 4,665.90/x
  3. Step 3: Cross multiply
    10,907.59x = 16,345.70 × 4,665.90
  4. Step 4: Simplify right side
    10,907.59x = 76,267,457.09
  5. Step 5: Solve for x
    x = 76,267,457.09/10,907.59
  6. Step 6: Final answer
    x = 6,992.15

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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.