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Finding the Fourth Proportional to 10,158.86, 14,018.57 and 5,681.84

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Solution

The fourth proportional to 10,158.86, 14,018.57 and 5,681.84 is: 7,840.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,158.86 : 14,018.57 = 5,681.84 : x
  2. Step 2: Convert to fraction form
    10,158.86/14,018.57 = 5,681.84/x
  3. Step 3: Cross multiply
    10,158.86x = 14,018.57 × 5,681.84
  4. Step 4: Simplify right side
    10,158.86x = 79,651,222.52
  5. Step 5: Solve for x
    x = 79,651,222.52/10,158.86
  6. Step 6: Final answer
    x = 7,840.57

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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.