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Finding the Fourth Proportional to 10,689.12, 16,019.08 and 6,011.40

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Solution

The fourth proportional to 10,689.12, 16,019.08 and 6,011.40 is: 9,008.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,689.12 : 16,019.08 = 6,011.40 : x
  2. Step 2: Convert to fraction form
    10,689.12/16,019.08 = 6,011.40/x
  3. Step 3: Cross multiply
    10,689.12x = 16,019.08 × 6,011.40
  4. Step 4: Simplify right side
    10,689.12x = 96,297,097.51
  5. Step 5: Solve for x
    x = 96,297,097.51/10,689.12
  6. Step 6: Final answer
    x = 9,008.89

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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.