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Finding the Fourth Proportional to 10,046.55, 13,864.10 and 5,570.20

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Solution

The fourth proportional to 10,046.55, 13,864.10 and 5,570.20 is: 7,686.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,046.55 : 13,864.10 = 5,570.20 : x
  2. Step 2: Convert to fraction form
    10,046.55/13,864.10 = 5,570.20/x
  3. Step 3: Cross multiply
    10,046.55x = 13,864.10 × 5,570.20
  4. Step 4: Simplify right side
    10,046.55x = 77,225,809.82
  5. Step 5: Solve for x
    x = 77,225,809.82/10,046.55
  6. Step 6: Final answer
    x = 7,686.80

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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.