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Finding the Fourth Proportional to 10,065.16, 15,102.75 and 4,522.46

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Solution

The fourth proportional to 10,065.16, 15,102.75 and 4,522.46 is: 6,785.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,065.16 : 15,102.75 = 4,522.46 : x
  2. Step 2: Convert to fraction form
    10,065.16/15,102.75 = 4,522.46/x
  3. Step 3: Cross multiply
    10,065.16x = 15,102.75 × 4,522.46
  4. Step 4: Simplify right side
    10,065.16x = 68,301,582.77
  5. Step 5: Solve for x
    x = 68,301,582.77/10,065.16
  6. Step 6: Final answer
    x = 6,785.94

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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.