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Finding the Fourth Proportional to 10,823.86, 14,937.01 and 6,347.70

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Solution

The fourth proportional to 10,823.86, 14,937.01 and 6,347.70 is: 8,759.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,823.86 : 14,937.01 = 6,347.70 : x
  2. Step 2: Convert to fraction form
    10,823.86/14,937.01 = 6,347.70/x
  3. Step 3: Cross multiply
    10,823.86x = 14,937.01 × 6,347.70
  4. Step 4: Simplify right side
    10,823.86x = 94,815,642.51
  5. Step 5: Solve for x
    x = 94,815,642.51/10,823.86
  6. Step 6: Final answer
    x = 8,759.87

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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.