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Finding the Fourth Proportional to 10,624.71, 14,661.71 and 5,908.89

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Solution

The fourth proportional to 10,624.71, 14,661.71 and 5,908.89 is: 8,154.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,624.71 : 14,661.71 = 5,908.89 : x
  2. Step 2: Convert to fraction form
    10,624.71/14,661.71 = 5,908.89/x
  3. Step 3: Cross multiply
    10,624.71x = 14,661.71 × 5,908.89
  4. Step 4: Simplify right side
    10,624.71x = 86,634,402.06
  5. Step 5: Solve for x
    x = 86,634,402.06/10,624.71
  6. Step 6: Final answer
    x = 8,154.05

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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.