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Finding the Fourth Proportional to 10,700.90, 14,767.68 and 5,920.76

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Solution

The fourth proportional to 10,700.90, 14,767.68 and 5,920.76 is: 8,170.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,700.90 : 14,767.68 = 5,920.76 : x
  2. Step 2: Convert to fraction form
    10,700.90/14,767.68 = 5,920.76/x
  3. Step 3: Cross multiply
    10,700.90x = 14,767.68 × 5,920.76
  4. Step 4: Simplify right side
    10,700.90x = 87,435,925.96
  5. Step 5: Solve for x
    x = 87,435,925.96/10,700.90
  6. Step 6: Final answer
    x = 8,170.89

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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.