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Finding the Fourth Proportional to 10,401.51, 15,607.14 and 6,022.65

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Solution

The fourth proportional to 10,401.51, 15,607.14 and 6,022.65 is: 9,036.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,401.51 : 15,607.14 = 6,022.65 : x
  2. Step 2: Convert to fraction form
    10,401.51/15,607.14 = 6,022.65/x
  3. Step 3: Cross multiply
    10,401.51x = 15,607.14 × 6,022.65
  4. Step 4: Simplify right side
    10,401.51x = 93,996,341.72
  5. Step 5: Solve for x
    x = 93,996,341.72/10,401.51
  6. Step 6: Final answer
    x = 9,036.80

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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.