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Finding the Fourth Proportional to 10,051.10, 13,870.64 and 5,574.90

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Solution

The fourth proportional to 10,051.10, 13,870.64 and 5,574.90 is: 7,693.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,051.10 : 13,870.64 = 5,574.90 : x
  2. Step 2: Convert to fraction form
    10,051.10/13,870.64 = 5,574.90/x
  3. Step 3: Cross multiply
    10,051.10x = 13,870.64 × 5,574.90
  4. Step 4: Simplify right side
    10,051.10x = 77,327,430.94
  5. Step 5: Solve for x
    x = 77,327,430.94/10,051.10
  6. Step 6: Final answer
    x = 7,693.43

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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.