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Finding the Fourth Proportional to 10,455.90, 15,678.81 and 6,074.61

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Solution

The fourth proportional to 10,455.90, 15,678.81 and 6,074.61 is: 9,108.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,455.90 : 15,678.81 = 6,074.61 : x
  2. Step 2: Convert to fraction form
    10,455.90/15,678.81 = 6,074.61/x
  3. Step 3: Cross multiply
    10,455.90x = 15,678.81 × 6,074.61
  4. Step 4: Simplify right side
    10,455.90x = 95,242,656.01
  5. Step 5: Solve for x
    x = 95,242,656.01/10,455.90
  6. Step 6: Final answer
    x = 9,108.99

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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.