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Finding the Fourth Proportional to 10,381.76, 14,254.47 and 10,111.16

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Solution

The fourth proportional to 10,381.76, 14,254.47 and 10,111.16 is: 13,882.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,381.76 : 14,254.47 = 10,111.16 : x
  2. Step 2: Convert to fraction form
    10,381.76/14,254.47 = 10,111.16/x
  3. Step 3: Cross multiply
    10,381.76x = 14,254.47 × 10,111.16
  4. Step 4: Simplify right side
    10,381.76x = 144,129,226.89
  5. Step 5: Solve for x
    x = 144,129,226.89/10,381.76
  6. Step 6: Final answer
    x = 13,882.93

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.