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Finding the Fourth Proportional to 11,780.51, 16,247.88 and 7,301.72

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Solution

The fourth proportional to 11,780.51, 16,247.88 and 7,301.72 is: 10,070.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,780.51 : 16,247.88 = 7,301.72 : x
  2. Step 2: Convert to fraction form
    11,780.51/16,247.88 = 7,301.72/x
  3. Step 3: Cross multiply
    11,780.51x = 16,247.88 × 7,301.72
  4. Step 4: Simplify right side
    11,780.51x = 118,637,510.97
  5. Step 5: Solve for x
    x = 118,637,510.97/11,780.51
  6. Step 6: Final answer
    x = 10,070.66

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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.