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Finding the Fourth Proportional to 10,047.47, 13,864.95 and 5,570.96

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Solution

The fourth proportional to 10,047.47, 13,864.95 and 5,570.96 is: 7,687.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,047.47 : 13,864.95 = 5,570.96 : x
  2. Step 2: Convert to fraction form
    10,047.47/13,864.95 = 5,570.96/x
  3. Step 3: Cross multiply
    10,047.47x = 13,864.95 × 5,570.96
  4. Step 4: Simplify right side
    10,047.47x = 77,241,081.85
  5. Step 5: Solve for x
    x = 77,241,081.85/10,047.47
  6. Step 6: Final answer
    x = 7,687.62

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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.