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Finding the Fourth Proportional to 10,030.34, 15,046.91 and 4,185.61

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Solution

The fourth proportional to 10,030.34, 15,046.91 and 4,185.61 is: 6,279.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,030.34 : 15,046.91 = 4,185.61 : x
  2. Step 2: Convert to fraction form
    10,030.34/15,046.91 = 4,185.61/x
  3. Step 3: Cross multiply
    10,030.34x = 15,046.91 × 4,185.61
  4. Step 4: Simplify right side
    10,030.34x = 62,980,496.97
  5. Step 5: Solve for x
    x = 62,980,496.97/10,030.34
  6. Step 6: Final answer
    x = 6,279.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.