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Finding the Fourth Proportional to 11,152.51, 16,700.68 and 6,707.77

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Solution

The fourth proportional to 11,152.51, 16,700.68 and 6,707.77 is: 10,044.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,152.51 : 16,700.68 = 6,707.77 : x
  2. Step 2: Convert to fraction form
    11,152.51/16,700.68 = 6,707.77/x
  3. Step 3: Cross multiply
    11,152.51x = 16,700.68 × 6,707.77
  4. Step 4: Simplify right side
    11,152.51x = 112,024,320.28
  5. Step 5: Solve for x
    x = 112,024,320.28/11,152.51
  6. Step 6: Final answer
    x = 10,044.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.