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Finding the Fourth Proportional to 10,157.46, 14,018.01 and 5,681.63

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Solution

The fourth proportional to 10,157.46, 14,018.01 and 5,681.63 is: 7,841.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,157.46 : 14,018.01 = 5,681.63 : x
  2. Step 2: Convert to fraction form
    10,157.46/14,018.01 = 5,681.63/x
  3. Step 3: Cross multiply
    10,157.46x = 14,018.01 × 5,681.63
  4. Step 4: Simplify right side
    10,157.46x = 79,645,146.16
  5. Step 5: Solve for x
    x = 79,645,146.16/10,157.46
  6. Step 6: Final answer
    x = 7,841.05

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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.