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Finding the Fourth Proportional to 10,698.34, 16,050.46 and 4,461.28

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Solution

The fourth proportional to 10,698.34, 16,050.46 and 4,461.28 is: 6,693.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,698.34 : 16,050.46 = 4,461.28 : x
  2. Step 2: Convert to fraction form
    10,698.34/16,050.46 = 4,461.28/x
  3. Step 3: Cross multiply
    10,698.34x = 16,050.46 × 4,461.28
  4. Step 4: Simplify right side
    10,698.34x = 71,605,596.19
  5. Step 5: Solve for x
    x = 71,605,596.19/10,698.34
  6. Step 6: Final answer
    x = 6,693.15

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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.