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Finding the Fourth Proportional to 10,071.68, 15,107.72 and 4,807.22

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Solution

The fourth proportional to 10,071.68, 15,107.72 and 4,807.22 is: 7,210.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,071.68 : 15,107.72 = 4,807.22 : x
  2. Step 2: Convert to fraction form
    10,071.68/15,107.72 = 4,807.22/x
  3. Step 3: Cross multiply
    10,071.68x = 15,107.72 × 4,807.22
  4. Step 4: Simplify right side
    10,071.68x = 72,626,034.16
  5. Step 5: Solve for x
    x = 72,626,034.16/10,071.68
  6. Step 6: Final answer
    x = 7,210.92

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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.