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Finding the Fourth Proportional to 10,433.65, 14,412.23 and 7,776.44

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Solution

The fourth proportional to 10,433.65, 14,412.23 and 7,776.44 is: 10,741.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,433.65 : 14,412.23 = 7,776.44 : x
  2. Step 2: Convert to fraction form
    10,433.65/14,412.23 = 7,776.44/x
  3. Step 3: Cross multiply
    10,433.65x = 14,412.23 × 7,776.44
  4. Step 4: Simplify right side
    10,433.65x = 112,075,841.86
  5. Step 5: Solve for x
    x = 112,075,841.86/10,433.65
  6. Step 6: Final answer
    x = 10,741.77

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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.