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Finding the Fourth Proportional to 10,790.66, 14,892.53 and 6,075.86

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Solution

The fourth proportional to 10,790.66, 14,892.53 and 6,075.86 is: 8,385.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,790.66 : 14,892.53 = 6,075.86 : x
  2. Step 2: Convert to fraction form
    10,790.66/14,892.53 = 6,075.86/x
  3. Step 3: Cross multiply
    10,790.66x = 14,892.53 × 6,075.86
  4. Step 4: Simplify right side
    10,790.66x = 90,484,927.33
  5. Step 5: Solve for x
    x = 90,484,927.33/10,790.66
  6. Step 6: Final answer
    x = 8,385.49

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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.