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Finding the Fourth Proportional to 10,073.16, 15,088.14 and 6,180.84

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Solution

The fourth proportional to 10,073.16, 15,088.14 and 6,180.84 is: 9,258.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,073.16 : 15,088.14 = 6,180.84 : x
  2. Step 2: Convert to fraction form
    10,073.16/15,088.14 = 6,180.84/x
  3. Step 3: Cross multiply
    10,073.16x = 15,088.14 × 6,180.84
  4. Step 4: Simplify right side
    10,073.16x = 93,257,379.24
  5. Step 5: Solve for x
    x = 93,257,379.24/10,073.16
  6. Step 6: Final answer
    x = 9,258.01

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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.