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Finding the Fourth Proportional to 10,646.01, 14,698.89 and 7,119.45

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Solution

The fourth proportional to 10,646.01, 14,698.89 and 7,119.45 is: 9,829.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,646.01 : 14,698.89 = 7,119.45 : x
  2. Step 2: Convert to fraction form
    10,646.01/14,698.89 = 7,119.45/x
  3. Step 3: Cross multiply
    10,646.01x = 14,698.89 × 7,119.45
  4. Step 4: Simplify right side
    10,646.01x = 104,648,012.41
  5. Step 5: Solve for x
    x = 104,648,012.41/10,646.01
  6. Step 6: Final answer
    x = 9,829.79

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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.