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Finding the Fourth Proportional to 10,318.08, 14,238.06 and 5,842

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Solution

The fourth proportional to 10,318.08, 14,238.06 and 5,842 is: 8,061.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,318.08 : 14,238.06 = 5,842 : x
  2. Step 2: Convert to fraction form
    10,318.08/14,238.06 = 5,842/x
  3. Step 3: Cross multiply
    10,318.08x = 14,238.06 × 5,842
  4. Step 4: Simplify right side
    10,318.08x = 83,178,746.52
  5. Step 5: Solve for x
    x = 83,178,746.52/10,318.08
  6. Step 6: Final answer
    x = 8,061.46

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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.