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Finding the Fourth Proportional to 10,046.40, 13,863.98 and 5,570.16

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Solution

The fourth proportional to 10,046.40, 13,863.98 and 5,570.16 is: 7,686.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,046.40 : 13,863.98 = 5,570.16 : x
  2. Step 2: Convert to fraction form
    10,046.40/13,863.98 = 5,570.16/x
  3. Step 3: Cross multiply
    10,046.40x = 13,863.98 × 5,570.16
  4. Step 4: Simplify right side
    10,046.40x = 77,224,586.84
  5. Step 5: Solve for x
    x = 77,224,586.84/10,046.40
  6. Step 6: Final answer
    x = 7,686.79

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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.