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Finding the Fourth Proportional to 10,625.96, 14,666.30 and 6,152.34

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Solution

The fourth proportional to 10,625.96, 14,666.30 and 6,152.34 is: 8,491.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,625.96 : 14,666.30 = 6,152.34 : x
  2. Step 2: Convert to fraction form
    10,625.96/14,666.30 = 6,152.34/x
  3. Step 3: Cross multiply
    10,625.96x = 14,666.30 × 6,152.34
  4. Step 4: Simplify right side
    10,625.96x = 90,232,064.14
  5. Step 5: Solve for x
    x = 90,232,064.14/10,625.96
  6. Step 6: Final answer
    x = 8,491.66

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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.