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Finding the Fourth Proportional to 11,785.34, 16,259.13 and 6,746.84

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Solution

The fourth proportional to 11,785.34, 16,259.13 and 6,746.84 is: 9,307.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,785.34 : 16,259.13 = 6,746.84 : x
  2. Step 2: Convert to fraction form
    11,785.34/16,259.13 = 6,746.84/x
  3. Step 3: Cross multiply
    11,785.34x = 16,259.13 × 6,746.84
  4. Step 4: Simplify right side
    11,785.34x = 109,697,748.65
  5. Step 5: Solve for x
    x = 109,697,748.65/11,785.34
  6. Step 6: Final answer
    x = 9,307.98

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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.