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Finding the Fourth Proportional to 10,421.01, 14,381.04 and 5,705.31

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Solution

The fourth proportional to 10,421.01, 14,381.04 and 5,705.31 is: 7,873.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,421.01 : 14,381.04 = 5,705.31 : x
  2. Step 2: Convert to fraction form
    10,421.01/14,381.04 = 5,705.31/x
  3. Step 3: Cross multiply
    10,421.01x = 14,381.04 × 5,705.31
  4. Step 4: Simplify right side
    10,421.01x = 82,048,291.32
  5. Step 5: Solve for x
    x = 82,048,291.32/10,421.01
  6. Step 6: Final answer
    x = 7,873.35

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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.